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

Daniil Proskurin·Yurii Samoilenko
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Abstract

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.

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Daniil Proskurin, Yurii Samoilenko. 2001-12-27. Stability of C^*-algebra associated with the twisted CCR. https://arxiv.org/abs/math/0112284

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