Stability of a special class of \(q_{ij}\)-CCR and extensions of higher-dimensional noncommutative tori

DOI10.1023/A:1007668304707zbMath0967.46048OpenAlexW144010423MaRDI QIDQ1590371

Daniil P. Proskurin

Publication date: 21 December 2000

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1007668304707

zbMATH Keywords

deformed commutation relationsFock representationirreducible representationsgeneralized quon commutation relationshigher-dimensional noncommutative torus

Mathematics Subject Classification ID

Noncommutative differential geometry (46L87) Noncommutative dynamical systems (46L55) Axiomatic quantum field theory; operator algebras (81T05) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Quantizations, deformations for selfadjoint operator algebras (46L65)

Related Items (10)

On q-tensor products of Cuntz algebras ⋮ The Generalized CCR: Representations and Enveloping C*-Algebra ⋮ The structure of doubly non-commuting isometries ⋮ Orthogonal decompositions and twisted isometries ⋮ CCR and CAR algebras are connected via a path of Cuntz-Toeplitz algebras ⋮ Classification of doubly \(\mathcal{U}\)-commuting row isometries ⋮ Functional calculus and multi-analytic models on regular \(\Lambda \)-polyballs ⋮ Doubly \(\Lambda\)-commuting row isometries, universal models, and classification ⋮ On \(\ast\)-representations of \(\lambda\)-deformations of canonical commutation relations ⋮ Deformations of CCR, their \(^\ast\)-representations, and enveloping \(C^\ast\)-algebras

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