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compact quantum groupoids related to C*-algebras
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(Topic)
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"compact quantum groupoids related to C*-algebras" is owned by bci1. [ full author list (2) ]
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See Also: groupoid C*-dynamical system, groupoid and group representations related to quantum symmetries, quantum algebraic topology topics, Grassmann-Hopf algebras and coalgebras\gebras, noncommutative geometry, groupoid C*-convolution algebras, Jordan-Banach and Jordan-Lie algebras, algebraic categories and classes of algebras, groupoid C*-dynamical system, weak Hopf C*-algebra,  -algebra, nuclear C*-algebra, von Neumann algebra, topic entry on applied mathematics, -algebra homomorphisms are continuous, compact quantum group, category of C*-algebras, Gelfand-Naimark-Segal construction, Gelfand transform, topic on applied mathematical physics and physical mathematics, quantum operator algebras in quantum field theories, equivalent representations of groupoids, -algebra, 2-C*-category
| Other names: |
quantum compact groupoids, weak Hopf algebras, quantized locally compact groupoids with left Haar measure |
| Also defines: |
commutative C*-algebra, QOA, alternative definition of C*-algebra, C*-norm, morphism between C*-algebras, category of C*-algebras, quantum compact groupoid |
| Keywords: |
algebra of quantum operators, morphism of C*-algebras, C*-algebra,  -algebra groupoid and group representations related to quantum symmetries, C*-algebra definition, von Neumann Algebras, Grassman-Hopf algebra, coalgebra and tangled G-H algebras |
This object's parent.
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Cross-references: topological groupoid, locally compact groupoid, axiomatic, antihomomorphism, coproduct, entails, generated by, contained, unital, bimodule, tensor product, inner product, localization, Hilbert modules, reduced, completion, involutive, right, Lie group, isotropy group, unitary, collection, indexed by, convolution product, element, convolution, support, smooth, conditional expectation, faithful, composition, positive, images, level, quantum group, product, fields, quantum observables, equivalence classes, acts on, structure, factors, inclusion, index, finite, induced, inconsistent, type, equivalent, NOR, locally compact quantum group, consistent, operator, non-Abelian, source, groupoid representation, Haar measure, groups, locally compact, extension, equations, quantum groups, deformations, symmetries, coalgebras, quantum groupoid, and operator, quantum state, Hausdorff space, continuous functions, multiplication, commutative, vector space, real, isomorphic, conversely, relation, isometry, isomorphism, morphism, bijective, linear map, mean, functions, bounded operators, adjoints, operations, algebraic, closed under, bounded linear operators, quantum field theory, norm, linear operators, bounded, property, Banach algebra, Axiom As, *-algebra, associative, map, Banach space, complex, involution, definitions, algebras, quantum operator algebras, categories, connections, section, quantum groupoids, compact, representations, convolution algebra, groupoid, terms, extended quantum symmetries, Hilbert space, noncommutative geometry, non-commutative, viz, quantum state spaces, geometry, theory, depth, mathematical foundation, von Neumann algebra, key, C*-algebra
There are 8 references to this entry.
This is version 122 of compact quantum groupoids related to C*-algebras, born on 2008-07-17, modified 2009-06-03.
Object id is 10812, canonical name is CAlgebra3.
Accessed 3847 times total.
Classification:
| AMS MSC: | 46L05 (Functional analysis :: Selfadjoint operator algebras :: General theory of $C^*$-algebras) | | | 81R15 (Quantum theory :: Groups and algebras in quantum theory :: Operator algebra methods) | | | 81R50 (Quantum theory :: Groups and algebras in quantum theory :: Quantum groups and related algebraic methods) | | | 81Q60 (Quantum theory :: General mathematical topics and methods in quantum theory :: Supersymmetric quantum mechanics) | | | 81R60 (Quantum theory :: Groups and algebras in quantum theory :: Noncommutative geometry) | | | 81R40 (Quantum theory :: Groups and algebras in quantum theory :: Symmetry breaking) |
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Pending Errata and Addenda
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