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

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The $C^*$-algebra associated with the twisted CCR constructed by W. Pusz and S.L. Woronowicz is considered. It is proved that the $C^*$-algebras corresponding to different values of parameter $0<=μ<1$ are isomorphic. It is proved that Fock representation is faithful on both *-algebra and $C^*$-algebra levels.
11 pages

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Operator Algebras, Representation Theory, 46L55, 46L65, 81S05, 81T05

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http://salesiana.dossiersoluciones.com/handle/123456789/62988

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0112284
 http://arxiv.org/abs/math/0112284

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arXiv