Stability of the \(C^*\)-algebra associated with twisted CCR

DOI10.1023/A:1020129429475zbMath1026.46063arXivmath/0112284OpenAlexW161186899MaRDI QIDQ1850947

Daniil P. Proskurin, Yurii S. Samoilenko

Publication date: 15 December 2002

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0112284

zbMATH Keywords

deformed commutation relationsFock representationuniversal bounded representation

Mathematics Subject Classification ID

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 (5)

The Generalized CCR: Representations and Enveloping C*-Algebra ⋮ Maximum modulus principle for ``holomorphic functions on the quantum matrix ball ⋮ Deformations of CCR, their \(^\ast\)-representations, and enveloping \(C^\ast\)-algebras ⋮ Arens–Michael envelopes, homological epimorphisms, and relatively quasi-free algebras ⋮ Holomorphic functions on the quantum polydisk and on the quantum ball

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