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

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

2001-12-27

arxiv.org/abs/math/0112284v1

Mathematics

Operator Algebras

11 pages

Scientific paper

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 $0<=\mu<1$ are isomorphic. It is
proved that Fock representation is faithful on both *-algebra and $C^*$-algebra
levels.

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