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

Daniil Proskurin; Yurii Samoilenko

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

Operator Algebras 2007-05-23 v1 Representation Theory

Authors: Daniil Proskurin , Yurii Samoilenko

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

Keywords

c*-algebra twisted ccr fock representation isomorphism faithful representation

Cite

@article{arxiv.math/0112284,
  title  = {Stability of C^*-algebra associated with the twisted CCR},
  author = {Daniil Proskurin and Yurii Samoilenko},
  journal= {arXiv preprint arXiv:math/0112284},
  year   = {2007}
}

Comments

11 pages

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