On \(*\)-representations of a deformation of a Wick analogue of the CAR algebra. (English) Zbl 1097.46041
Summary: The classification of irreducible *-representations of deformations of canonical anti-commutation relations is given. A description of the corresponding enveloping \(C^*\)-algebra is presented in terms of continuous matrix-functions satisfying certain boundary conditions.
MSC:
| 46L55 | Noncommutative dynamical systems |
| 81S05 | Commutation relations and statistics as related to quantum mechanics (general) |
| 46N50 | Applications of functional analysis in quantum physics |
References:
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