H * -algebra
0.1 H *-algebra
An H *-algebra is defined as a Hilbert space
𝔸H equipped with an associative unital algebra structure
and an antilinear involution
:*𝔸H→𝔸H which is compatible
with taking the adjoint
of the operators on the Hilbert space for the left and right multiplication of 𝔸H with itself (ref. [1]).
References
- 1 Baez, J. 2007. http://golem.ph.utexas.edu/category/2006/10/categorified_gelfandnaimark_th.htmlGroupoidification. (Preprint)
| Title | H * -algebra |
| Canonical name | Halgebra |
| Date of creation | 2013-03-22 18:26:32 |
| Last modified on | 2013-03-22 18:26:32 |
| Owner | bci1 (20947) |
| Last modified by | bci1 (20947) |
| Numerical id | 7 |
| Author | bci1 (20947) |
| Entry type | Definition |
| Classification | msc 20G42 |
| Classification | msc 81R05 |
| Classification | msc 81R15 |
| Classification | msc 46N50 |
| Related topic | HilbertSpace |
| Related topic | QuantumSpaceTimes |
| Related topic | VonNeumannAlgebra |
| Related topic | WeakHopfCAlgebra2 |
| Related topic | CategoryOfHAlgebras |