bibliography for operator algebras in mathematical physics and AQFT-A to K


0.1 Bibliography for Operator Algebras in Mathematical Physics and Algebraic Quantum Field Theories (AQFT):

Alphabetical order: Letters from A to K

References

  • 1 Akutsu, Y. and Wadati, M. (1987). Knot invariants and critical statistical systems. Journal of the Physics Society of Japan, 56, 839–842.
  • 2 Alexander, J. W. (1930). The combinatorial theory of complexes. Annals of Mathematics, (2) 31, 294–322.
  • 3 Andrews, G. E., Baxter, R. J. and Forrester, P.J. (1984). Eight vertex SOS model and generalized Rogers–Ramanujan type identitiesPlanetmathPlanetmathPlanetmathPlanetmathPlanetmath. Journal of Statistical Physics, 35, 193–266.
  • 4 Aoi, H. and Yamanouchi, T. (in press). Construction of a canonical subfactor for an inclusion of factors with a common Cartan subalgebraMathworldPlanetmath. Hokkaido Mathematical Journal.
  • 5 Arcuri, R. C., Gomes, J. F. and D. I. Olive (1987). Conformal subalgebrasMathworldPlanetmathPlanetmathPlanetmathPlanetmath and symmetric spaces. Nuclear Physics B, 285, 327–339.
  • 6 Artin, E. (1947). Theory of braids. Annals of Mathematics, 48 101–126.
  • 7 Asaeda, M. (2007). Galois groups and an obstruction to principal graphs of subfactors. International Journal of Mathematics, 18, 191–202. math.OA/0605318.
  • 8 Asaeda, M. and Haagerup, U. (1999). Exotic subfactors of finite depth with Jones indices (5+13)/2 and (5+17)/2. Communications in Mathematical Physics, 202, 1–63.
  • 9 Asaeda, M. and Yasuda, S. (preprint 2007). On Haagerup’s list of potential principal graphs of subfactors. arXiv:0711.4144.
  • 10 Atiyah, M. (1967). K-theory. W. A. Benjamin Inc., New York.
  • 11 Atiyah, M. (1989). Topological quantum field theory. Publication Mathématiques IHES, 68, 175–186.
  • 12 Aubert, P.-L. (1976). Théorie de Galois pour une W*-algèbre. Commentarii Mathematici Helvetici, 39 (51), 411–433.
  • 13 Baez, J. C., Segal, I. E. and Zhou, Z. (1992). Introduction to algebraicMathworldPlanetmath and constructive quantum field theory. Princeton University Press.
  • 14 Bakalov, B. and Kirillov, A. Jr. (2001). Lectures on tensor categories and modular functors. University Lecture Series 21, Amer. Math. Soc.
  • 15 Banica, T. (1997). Le groupe quantique compactPlanetmathPlanetmath libre U⁢(n), Communications in Mathematical Physics, 190, 143–172.
  • 16 Banica, T. (1998). Hopf algebrasMathworldPlanetmathPlanetmathPlanetmath and subfactors associated to vertex models. Journal of Functional Analysis, 159, 243–266.
  • 17 Banica, T. (1999). RepresentationsPlanetmathPlanetmath of compact quantum groups and subfactors. Journal für die Reine und Angewandte Mathematik, 509, 167–198.
  • 18 Banica, T. (1999). Fusion rules for representations of compact quantum groups. Expositiones Mathematicae, 17, 313–337.
  • 19 Banica, T. (1999). SymmetriesMathworldPlanetmathPlanetmathPlanetmath of a genericPlanetmathPlanetmathPlanetmath coaction. Mathematische Annalen, 314, 763–780.
  • 20 Banica, T. (2000). Compact Kac algebrasMathworldPlanetmathPlanetmath and commuting squares. Journal of Functional Analysis, 176, 80–99.
  • 21 Banica, T. (2001). Subfactors associated to compact Kac algebras. Integral Equations Operator Theory, 39, 1–14.
  • 22 Banica, T. (2002). Quantum groupsPlanetmathPlanetmathPlanetmathPlanetmathPlanetmathPlanetmath and Fuss-Catalan algebras. Communications in Mathematical Physics, 226, 221–232
  • 23 Banica, T. (2005). The planar algebra of a coaction. Journal of Operator Theory 53, 119–158.
  • 24 Banica, T. (2005). Quantum automorphism groupsMathworldPlanetmath of homogeneousPlanetmathPlanetmathPlanetmathPlanetmathPlanetmathPlanetmath graphs. Journal of Functional Analysis, 224, 243–280.
  • 25 Banica, T. (2005). Quantum automorphism groups of small metric spaces. Pacific Journal of Mathematics, 219, 27–51.
  • 26 Baxter, R. J. (1981).Rogers–Ramanujan identities in the Hard Hexagon model. Journal of Statistical Physics, 26, 427–452.
  • 27 Baxter, R. J. (1982). Exactly solved models in statistical mechanics. Academic Press, New York.
  • 28 Baxter, R. J. (1988). The superintegrable chiral Potts model. Physics Letters A, 133, 185–189.
  • 29 Baxter, R. J. (1989). A simple solvablePlanetmathPlanetmath Z4⁢(N) HamiltonianPlanetmathPlanetmath. Physics Letters A, 140, 155–157.
  • 30 Baxter, R. J. (1989). Superintegrable Chiral Potts model: thermodynamic properties, an “inverseMathworldPlanetmathPlanetmathPlanetmathPlanetmath” model, and a simple associated Hamiltonian. Journal of Statistical Physics, 57, 1–39.
  • 31 Baxter, R. J., Kelland, S. B. and Wu, F. Y. (1976). Potts model or Whitney PolynomialMathworldPlanetmathPlanetmath. Journal of Physics. A. Mathematical and General, 9, 397–406.
  • 32 Baxter, R. J., Perk, J. H. H. and Au-Yang, H. (1988). New solutions of the star-triangle relations for the chiral Potts model. Physics Letters A 128, 138–142.
  • 33 Baxter, R. J., Temperley, H. N. V. and Ashley, S. E. (1978). Triangular Potts model and its transition temperature and related models. Proceedings of the Royal Society of London A, 358, 535–559.
  • 34 Behrend, R. E., Evans, D. E. (preprint 2003). Integrable Lattice Models for ConjugatePlanetmathPlanetmathPlanetmath An(1). hep-th/0309068.
  • 35 Behrend, R. E., Pearce, P. A., Petkova, V. B. and Zuber, J-B. (2000). Boundary conditions in rational conformal field theories. Nuclear Physics B, 579, 707–773.
  • 36 Belavin, A. A., Polyakov, A. M. and Zamolodchikov, A. B. (1980). InfiniteMathworldPlanetmath conformal symmetry in two-dimensional quantum field theory. Nuclear Physics B, 241, 333–380.
  • 37 Berezin, F. A. (1966). A method of second quantization. Academic Press, London/New York.
  • 38 Bertozzini, P., Conti, R. and Longo, R. (1998) Covariant sectors with infinite dimensionMathworldPlanetmathPlanetmathPlanetmath and positivity of the energy. Communications in Mathematical Physics, 193, 471–492.
  • 39 Bion-Nadal, J. (1992). Subfactor of the hyperfinite I⁢I1 factor with Coxeter graph E6 as invariantMathworldPlanetmath. Journal of Operator Theory, 28, 27–50.
  • 40 Birman, J. (1974). Braids, links and mapping class groupsPlanetmathPlanetmath. Annals of Mathematical Studies, 82.
  • 41 Birman, J. S. and Wenzl, H. (1989). Braids, link polynomials and a new algebra. Transactions of the American Mathematical Society, 313, 249–273.
  • 42 Bisch, D. (1990). On the existence of centralPlanetmathPlanetmath sequencesMathworldPlanetmathPlanetmath in subfactors. Transactions of the American Mathematical Society, 321, 117–128.
  • 43 Bisch, D. (1992). Entropy of groups and subfactors. Journal of Functional Analysis, 103, 190–208.
  • 44 Bisch, D. (1994). A note on intermediate subfactors. Pacific Journal of Mathematics, 163, 201–216.
  • 45 Bisch, D. (1994). On the structureMathworldPlanetmath of finite depth subfactors. in Algebraic methods in operator theory, (ed. R. Curto and P. E. T. Jörgensen), Birkhäuser, 175–194.
  • 46 Bisch, D. (1994). Central sequences in subfactors II. Proceedings of the American Mathematical Society, 121, 725–731.
  • 47 Bisch, D. (1994). An example of an irreduciblePlanetmathPlanetmath subfactor of the hyperfinite II1 factor with rational, non-integer index. Journal für die Reine und Angewandte Mathematik, 455, 21–34.
  • 48 Bisch, D. (1997). Bimodules, higher relative commutants and the fusion algebra associated to a subfactor. In Operator algebras and their applications. Fields Institute Communications, Vol. 13, American Math. Soc., 13–63.
  • 49 Bisch, D. (1998). Principal graphs of subfactors with small Jones index. Mathematische Annalen, 311, 223–231.
  • 50 Bisch, D. (2002). Subfactors and planar algebras. Proc. ICM-2002, Beijing, 2, 775–786.
  • 51 Bisch, D. and Haagerup, U. (1996). CompositionMathworldPlanetmathPlanetmath of subfactors: New examples of infinite depth subfactors. Annales Scientifiques de l’École Normale Superieur, 29, 329–383.
  • 52 Bisch, D. and Jones, V. F. R. (1997). Algebras associated to intermediate subfactors. Inventiones Mathematicae, 128, 89–157.
  • 53 Bisch, D. and Jones, V. F. R. (1997). A note on free composition of subfactors. In GeometryMathworldPlanetmath and Physics, (Aarhus 1995), Marcel Dekker, Lecture Notes in Pure and Applied Mathematics, Vol. 184, 339–361.
  • 54 Bisch, D. and Jones, V. F. R. (2000). Singly generated planar algebras of small dimension. Duke Mathematical Journal, 101, 41–75.
  • 55 Bisch, D. and Jones, V. F. R. (2003). Singly generated planar algebras of small dimension. II Advances in Mathematics, 175, 297–318.
  • 56 Bisch, D., Nicoara, R. and Popa, S. (2007). ContinuousPlanetmathPlanetmath families of hyperfinite subfactors with the same standard invariant. International Journal of Mathematics, 18, 255–267. math.OA/0604460.
  • 57 Bisch, D. and Popa, S. (1999). Examples of subfactors with property T standard invariant. Geometric and Functional Analysis, 9, 215–225.
  • 58 Böckenhauer, J. (1996). An algebraic formulation of level one Wess-Zumino-Witten models. Reviews in Mathematical Physics, 8, 925–947.
  • 59 Böckenhauer, J. and Evans, D. E. (1998). Modular invariants, graphs and α-inductionMathworldPlanetmath for nets of subfactors I. Communications in Mathematical Physics, 197, 361–386.
  • 60 Böckenhauer, J. and Evans, D. E. (1999). Modular invariants, graphs and α-induction for nets of subfactors II. Communications in Mathematical Physics, 200, 57–103.
  • 61 Böckenhauer, J. and Evans, D. E. (1999). Modular invariants, graphs and α-induction for nets of subfactors III. Communications in Mathematical Physics, 205, 183–228.
  • 62 Böckenhauer, J. and Evans, D. E. (2000). Modular invariants from subfactors: Type I coupling matrices and intermediate subfactors. Communications in Mathematical Physics, 213, 267–289.
  • 63 Böckenhauer, J. and Evans, D. E. (2002). Modular invariants from subfactors. in Quantum Symmetries in Theoretical Physics and Mathematics (ed. R. Coquereaux et al.), Comtemp. Math. 294, Amer. Math. Soc., 95–131. math.OA/0006114.
  • 64 Böckenhauer, J. and Evans, D. E. (2001). Modular invariants and subfactors. in Mathematical Physics in Mathematics and Physics (ed. R. Longo), The Fields Institute Communications 30, Providence, Rhode Island: AMS Publications, 11–37. math.OA/0008056.
  • 65 Böckenhauer, J., Evans, D. E. and Kawahigashi, Y. (1999). On α-induction, chiral generatorsPlanetmathPlanetmathPlanetmathPlanetmathPlanetmath and modular invariants for subfactors. Communications in Mathematical Physics, 208, 429–487. math.OA/9904109.
  • 66 Böckenhauer, J., Evans, D. E. and Kawahigashi, Y. (2000). Chiral structure of modular invariants for subfactors. Communications in Mathematical Physics, 210, 733–784. math.OA/9907149.
  • 67 Böckenhauer, J., Evans, D. E. and Kawahigashi, Y. (2001). Longo-Rehren subfactors arising from α-induction. Publications of the RIMS, Kyoto University, 37, 1–35. math.OA/0002154.
  • 68 de Boer, J. and Goeree, J. (1991). Markov traces and II1 factors in conformal field theory. Communications in Mathematical Physics, 139, 267–304.
  • 69 Bongaarts, P. J. M. (1970). The electron-positron field, coupled to external electromagnetic potentials as an elementary C*-algebra theory. Annals of Physics, 56, 108–138.
  • 70 Bratteli, O. (1972). Inductive limits of finite dimensional C*-algebras. Transactions of the American Mathematical Society, 171, 195–234.
  • 71 Brunetti, R., Guido, D. and Longo, R. (1993). Modular structure and duality in conformal quantum field theory. Communications in Mathematical Physics, 156, 201–219.
  • 72 Brunetti, R., Guido, D. and Longo, R. (1995). Group cohomologyMathworldPlanetmathPlanetmathPlanetmath, modular theory and space-time symmetries. Reviews in Mathematical Physics, 7 57–71.
  • 73 Buchholz, D., Doplicher, S., Longo, R. and Roberts, J. E. (1993). ExtensionsPlanetmathPlanetmathPlanetmath of automorphismsMathworldPlanetmathPlanetmathPlanetmathPlanetmathPlanetmathPlanetmath and gauge symmetries. Communications in Mathematical Physics, 155, 123–134.
  • 74 Buchholz, D., Mack, G. and Todorov, I. (1988). The current algebra on the circle as a germ of local fieldMathworldPlanetmath theories. Nuclear Physics B (Proc. Suppl.), B5, 20–56.
  • 75 Buchholz, D. and Schulz-Mirbach, H. (1990). Haag duality in conformal quantum field theoery, Reviews in Mathematical Physics, 2 105–125.
  • 76 Camp, W., and Nicoara, R. (preprint 2007). Subfactors and Hadamard matricesMathworldPlanetmath. arXiv:0704.1128.
  • 77 Cappelli, A., Itzykson, C. and Zuber, J.-B. (1987). The A-D-E classification of minimalPlanetmathPlanetmath and A1(1) conformal invariant theories. Communications in Mathematical Physics, 113, 1–26.
  • 78 Carpi, S. (1998). Absence of subsystems for the Haag-Kastler net generated by the energy-momentum tensor in two-dimensional conformal field theory. Letters in Mathematical Physics, 45, 259–267.
  • 79 Carpi, S. (2003). The Virasoro algebra and sectors with infinite statistical dimension. Annales Henri Poincaré, 4, 601–611. math.OA/0203027.
  • 80 Carpi, S. (2004). On the representation theory of Virasoro nets. Communications in Mathematical Physics, 244, 261–284. math.OA/0306425.
  • 81 Carpi, S. (2005). Intersecting Jones projectionsPlanetmathPlanetmathPlanetmath. International Journal of Mathematics, 16, 687–691. math.OA/0412457.
  • 82 Carpi, S. and Conti, R. (2001). Classification of subsystems for local nets with trivial superselection structure. Communications in Mathematical Physics, 217, 89–106.
  • 83 Carpi, S. and Conti, R. (2005). Classification of subsystems for graded-local nets with trivial superselection structure. Communications in Mathematical Physics. 253, 423–449. math.OA/0312033.
  • 84 Carpi, S., Kawahigashi, Y. and Longo, R. (in press). Structure and classification of superconformal nets. Annales Henri Poincaré. arXiv:0705.3609.
  • 85 Carpi, S. and Weiner, M. (2005). On the uniqueness of diffeomorphismMathworldPlanetmath symmetry in Conformal Field Theory. Communications in Mathematical Physics, 258, 203–221. math.OA/0407190.
  • 86 Ceccherini, T. (1996). Approximately inner and centrally free commuting squares of type I⁢I1 factors and their classification. Journal of Functioanl Analysis, 142, 296–336.
  • 87 Chen, J. (1993). The Connes invariant χ⁢(M) and cohomology of groups. Ph. D. dissertation at University of California, Berkeley.
  • 88 Choda, M. (1989). Index for factors generated by Jones’ two sided sequence of projections. Pacific Journal of Mathematics, 139, 1–16.
  • 89 Choda, M. (1991). Entropy for *-endomorphisms and relative entropy for subalgebras. Journal of Operator Theory, 25, 125–140.
  • 90 Choda, M. (1992). Entropy for canonical shift. Transactions of the American Mathematical Society, 334, 827–849.
  • 91 Choda, M. (1993). Duality for finite bipartite graphsMathworldPlanetmath (with applications to II1 factors). Pacific Journal of Mathematics, 158, 49–65.
  • 92 Choda, M. (1994). Square roots of the canonical shifts. Journal of Operator Theory, 31, 145–163.
  • 93 Choda, M. (1994). Extension algebras via *-endomorphisms. in Subfactors — Proceedings of the Taniguchi Symposium, Katata —, (ed. H. Araki, et al.), World Scientific, 105–128.
  • 94 Choda, M. and Hiai, F. (1991). Entropy for canonical shifts. II. Publications of the RIMS, Kyoto University, 27, 461–489.
  • 95 Choda, M. and Kosaki, H. (1994). Strongly outer actions for an inclusion of factors. Journal of Functional Analysis, 122, 315–332.
  • 96 Christensen, E. (1979). Subalgebras of a finite algebra. Mathematische Annalen, 243, 17–29.
  • 97 Combes, F. (1968). Poids sur une C*-algèbre. Journal de Mathématiques Pures et Appliquées, 47, 57–100.
  • 98 Connes, A. (1973). Une classification des facteurs de type III. Annales Scientifiques de l’École Normale Supérieure, 6, 133–252.
  • 99 Connes, A. (1975). Outer conjugacy classesMathworldPlanetmath of automorphisms of factors. Annales Scientifiques de l’École Normale Supérieure, 8, 383–419.
  • 100 Connes, A. (1975). Hyperfinite factors of type III-0 and Krieger’s factors. Journal of Functional Analysis, 18, 318–327.
  • 101 Connes, A. (1975). Sur la classification des facteurs de type II. Comptes Rendus de l’Academie des Sciences, Série I, Mathématiques, 281, 13–15.
  • 102 Connes, A. (1975). A factor not antiisomorphic to itself. Annals of Mathematics, 101, 536–554.
  • 103 Connes, A. (1976). Classification of injectivePlanetmathPlanetmath factors. Annals of Mathematics, 104, 73–115.
  • 104 Connes, A. (1976). Outer conjugacy of automorphisms of factors. Symposia Mathematica, XX, 149–160.
  • 105 Connes, A. (1976). On the classification of von Neumann algebrasMathworldPlanetmathPlanetmath and their automorphisms. Symposia Mathematica, XX, 435–478.
  • 106 Connes, A. (1977). Periodic automorphisms of the hyperfinite factor of type II1. Acta Scientiarum Mathematicarum, 39, 39–66.
  • 107 Connes, A. (1978). On the cohomologyMathworldPlanetmath of operator algebras. Journal of Functional Analysis, 28, 248–253.
  • 108 Connes, A. (1979). Sur la théorie non commutativePlanetmathPlanetmathPlanetmath de l’integration. Springer Lecture Notes in Math., 725, 19–143.
  • 109 Connes, A. (1980). C*-algebres et geomètrie différentielle. Comptes Rendus de l’Academie des Sciences, Série I, Mathématiques, 559–604.
  • 110 Connes, A. (1980). Spatial theory of von Neumann algebras. Journal of Functional Analysis, 35 (1980), 153–164.
  • 111 Connes, A. (1981). An analogue of the Thom isomorphism for crossed products of a C*-algebra by an action of 𝐑. Advances in Mathematics, 39, 311–355.
  • 112 Connes, A. (1982). Foliations and Operator Algebras. Proceedings of Symposia in Pure Mathematics. ed. R. V. Kadison, 38, 521–628.
  • 113 Connes, A. (1982). Classification des facteurs. Proceedings of the Symposia in Pure Mathematics (II), 38, 43–109.
  • 114 Connes, A. (1985). Non-commutative differential geometry I–II. Publication Mathématiques IHES, 62, 41–144.
  • 115 Connes, A. (1985). Factors of type III-1, property Lλ′ and closureMathworldPlanetmathPlanetmathPlanetmath of inner automorphisms. Journal of Operator Theory, 14, 189–211.
  • 116 Connes, A. (1985). Non Commutative Differential Geometry, Chapter II: De Rham homologyMathworldPlanetmathPlanetmath and non commutative algebra. Publication Mathématiques IHES, 62, 257–360.
  • 117 Connes, A. (1994). Noncommutative geometryPlanetmathPlanetmath. Academic Press.
  • 118 Connes, A. and Evans, D. E. (1989). EmbeddingsMathworldPlanetmathPlanetmath of U⁢(1)-current algebras in non-commutative algebras of classical statistical mechanics. Communications in Mathematical Physics, 121, 507–525.
  • 119 Connes, A. and Higson, N. (1990). Déformations, morphismes asymptotiques et K-théorie bivariante. Comptes Rendus de l’ Academie des Sciences, Série I, Mathématiques, 311, 101–106.
  • 120 Connes, A. and Karoubi, M. (1988). Caractere multiplicatif d’un module de Fredholm. K-theory, 2 431–463.
  • 121 Connes, A. and Krieger, W. (1977). Measure space automorphism groups, the normalizerMathworldPlanetmath of their full groups, and approximate finiteness. Journal of Functional Analysis, 24, 336–352.
  • 122 Connes, A. and Rieffel, M. (1985). Yang-Mills for non-commutative tori. Contemporary Mathematics, 62, 237–265.
  • 123 Connes, A. and Skandalis, G. (1984). The longitudinal index theorem for foliations. Publications of the RIMS, Kyoto University, 20, 1139–1183.
  • 124 Connes, A. and Störmer, E. (1975). Entropy for automorphisms of I⁢I1 von Neumann algebras. Acta Mathematica, 134, 289–306.
  • 125 Connes, A. and Takesaki, M. (1977). The flow of weights on factors of type III. Tohoku Mathematical Journal, 29, 73–555.
  • 126 Conti, R., Doplicher, S., and Roberts, J. E. (2001). Superselection theory for subsystems. Communications in Mathematical Physics, 218, 263–281.
  • 127 Conti, R. and Pinzari, C. (1996). Remarks on the index of endomorphisms of Cuntz algebras. Journal of Functional Analysis, 142, 369–405.
  • 128 Coquereaux, R. (2005) The A2 Ocneanu quantum groupoidPlanetmathPlanetmath. in Algebraic structures and their representations, Contemporary Mathematics, 376, 227–247. hep-th/0311151.
  • 129 Coquereaux, R. and Schieber, G. (2002). Twisted partition functionsPlanetmathPlanetmath for ADE boundary conformal field theories and Ocneanu algebras of quantum symmetries. Journal of Geometry and Physics, 42, 216–258.
  • 130 Coquereaux, R. and Schieber, G. (2003). Determination of quantum symmetries for higher ADE systems from the modular T matrix. Journal of Mathematical Physics, 44, 3809–3837. hep-th/0203242.  bibitemCn Cuntz, J. (1977). Simple C*-algebras generated by isometriesMathworldPlanetmathPlanetmath. Communications in Mathematical Physics, 57, 173–185.
  • 131 Cuntz, J. (1981). K-theory for certain C*-algebras. Annals of Mathematics, 113, 181–197.
  • 132 Cuntz, J. (1984). K-theory and C*-algebras. Lecture Notes in Mathematics, Springer-Verlag, 1046.
  • 133 Cuntz, J. (1981). A class of C*-algebras and topological Markov chains II. Reducible Markov chains and the E⁢x⁢t functorMathworldPlanetmath for C*-algebras. Inventiones Mathematica, 63, 25–40.
  • 134 Cuntz, J. and Krieger, W. (1980). A class of C*-algebras and topological Markov chains. Inventiones Mathematicae, 56, 251–268.
  • 135 Cvetković, D., Doob, M. and Gutman, I. (1982). On graphs whose spectral radius does not exceed (2+5)1/2. Ars Combinatoria, 14, 225–239.
  • 136 D’Antoni, C., Fredenhagen, K. and Köster, S. (preprint 2003). Implementation of conformal covariance by diffeomorphism symmetry. math-ph/0312017.
  • 137 D’Antoni, C., Longo, R. and Radulescu, F. (2001). Conformal nets, maximal temperature and models from free probability. Journal of Operator Theory, 45, 195–208.
  • 138 Date, E., Jimbo, M., Kuniba, A., Miwa, T. and Okado, M. (1988). Exactly solvable SOS models II: Proof of the star-triangle relation and combinatorial identities. Advanced Studies in Pure Mathematics, 16, 17–122.
  • 139 Date, E., Jimbo, M., Miwa, T. and Okado, M. (1987). Solvable lattice models. Theta functions — Bowdoin 1987, Part 1, Proceedings of Symposia in Pure Mathematics Vol. 49, American Mathematical Society, Providence, R.I., pp. 295–332.
  • 140 David, M. C. (1996). Paragroupe d’Adrian Ocneanu et algèbre de Kac. Pacific Journal of Mathematics, 172, 331–363.
  • 141 Degiovanni, P. (1990). 𝐙/N⁢𝐙 conformal field theories. Communications in Mathematical Physics, 127, 71–99.
  • 142 Degiovanni, P. (1992). Moore and Seiberg’s equations and 3D toplogical field theory. 145, 459–505.
  • 143 Di Francesco, P. (1992). Integrable lattice models, graphs, and modular invariant conformal field theories. International Journal of Modern Physics A, 7, 407–500.
  • 144 Di Francesco, P., Mathieu, P. and Sénéchal, D. (1996). Conformal Field Theory. Springer-Verlag, New York.
  • 145 Di Francesco, P., Saleur, H. and Zuber, J.-B. (1987). Modular invariance in non-minimal two-dimensional conformal field theories. Nuclear Physics, B285, 454–480.
  • 146 Di Francesco, P. and Zuber, J.-B. (1990). S⁢U⁢(N) latticeMathworldPlanetmathPlanetmath integrable models associated with graphs. Nuclear Physics B, 338, 602–646.
  • 147 Di Francesco, P. and Zuber, J.-B. (1990). S⁢U⁢(N) lattice integrable models and modular invariance. in Recent DevelopmentsMathworldPlanetmath in Conformal Field Theories, Trieste, 1989, World Scientific, 179–215.
  • 148 Dijkgraaf, R., Pasquier, V. and Roche, Ph. (1990). Quasi Hopf algebras, group cohomology and orbifoldMathworldPlanetmath models. Nuclear Physics B(Proc. Suppl.), 18, 60–72.
  • 149 Dijkgraaf, R., Pasquier, V. and Roche, Ph. (1991). Quasi-quantum groups related to orbifold models. Proceedings of the International Colloquium on Modern Quantum Field Theory, World Scientific, Singapore, 375–383.
  • 150 Dijkgraaf, R., Vafa, C., Verlinde, E. and Verlinde, H. (1989). The operator algebra of orbifold models. Communications in Mathematical Physics, 123, 485–526.
  • 151 Dijkgraaf, R. and Witten, E. (1990). Topological gauge theories and group cohomology. Communications in Mathematical Physics, 129, 393–429.
  • 152 Dixmier, J. (1964). Les C*-algebras et leurs représentations. Gauthier-Villars.
  • 153 Dixmier, J. (1967). On some C*-algebras considered by Glimm. Journal of Functional Analysis, 1, 182–203.
  • 154 Dixmier, J. (1969). Les algèbres d’opérateurs dans l’espace Hilbertien. (Algèbres de von Neumann.) 2nd ed. Gauthier Villars, Paris.
  • 155 Dixmier, J. (1981). Von Neumann Algebras. North-Holland.
  • 156 Dixmier, J. and C. Lance (1969). Deux nouveaux facteurs de type II. Inventiones Mathematicae, 7, 226–234.
  • 157 Dixon, L., Harvey, J. A., Vafa, C. and Witten, E. (1985). Strings on orbifolds. Nuclear Physics B, 261, 678–686.
  • 158 Dixon, L., Harvey, J. A., Vafa, C. and Witten, E. (1986). Strings on orbifolds. Nuclear Physics B, 274, 285–314.
  • 159 Dong, C. and Xu, F. (2006). Conformal nets associated with lattices and their orbifolds. Advances in Mathematics, 206, 279–306. math.OA/0411499.
  • 160 Doplicher, S., Haag, R. and Roberts, J. E. (1969). Fields, observables and gauge transformations II. Communications in Mathematical Physics, 15, 173–200.
  • 161 Doplicher, S., Haag, R. and Roberts, J. E. (1971, 74). Local obsevables and particle statistics, I,II. Communications in Mathematical Physics, 23, 199–230 and 35, 49–85.
  • 162 Doplicher, S. and Longo, R. (1984). Standard and split inclusions of von Neumann algebras. Inventiones Mathematicae, 75, 493–536. bibitemDP Doplicher, S. and , Piacitelli, G. (preprint 2002). Any compact group is a gauge group. hep-th/0204230.
  • 163 Doplicher, S., Pinzari, C. and Roberts, J. E. (2001). An algebraic duality theory for multiplicative unitariesMathworldPlanetmathPlanetmath. International Journal of Mathematics, 12, 415–459.
  • 164 Doplicher, S. and Roberts, J. E. (1989). Endomorphisms of C*-algebras, cross productsMathworldPlanetmath and duality for compact groups. Annals of Mathematics, 130, 75–119.
  • 165 Doplicher, S. and Roberts, J. E. (1989). A new duality theory for compact groups. Inventiones Mathematica, 98, 157–218.
  • 166 Drinfel′d, V. G. (1986). Quantum groups. Proc. ICM-86, Berkeley, 798–820.
  • 167 Dunford, N. and Schwartz, J. T. (1958). Linear OperatorsMathworldPlanetmath Volume I. Interscience.
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Title bibliography for operator algebras in mathematical physics and AQFT-A to K
Canonical name BibliographyForOperatorAlgebrasInMathematicalPhysicsAndAQFTAToK
Date of creation 2013-03-22 18:46:14
Last modified on 2013-03-22 18:46:14
Owner bci1 (20947)
Last modified by bci1 (20947)
Numerical id 10
Author bci1 (20947)
Entry type Bibliography
Classification msc 81Q60
Classification msc 03G12
Classification msc 81R50
Classification msc 81T70
Classification msc 47C15
Classification msc 46L35
Classification msc 46L10
Classification msc 46L05
Classification msc 81T60
Classification msc 81T05