English

Exactness of Cuntz-Pimsner C*-algebras

Operator Algebras 2007-05-23 v1

Abstract

Let H be a full Hilbert bimodule over a C*-algebra A. We show that the Cuntz-Pimsner C*-algebra associated to H is exact if and only if A is exact. Using this result, we give alternative proofs for exactness of reduced amalgamated free products of exact C*-algebras. In the case that A is a finite dimensional C*-algebra, we also show that the Brown-Voiculescu topological entropy of Bogljubov automorphisms of the Cuntz-Pimsner algebra associated to an A,A Hilbert bimodule is zero.

Keywords

Cite

@article{arxiv.math/9911002,
  title  = {Exactness of Cuntz-Pimsner C*-algebras},
  author = {Ken Dykema and Dimitri Shlyakhtenko},
  journal= {arXiv preprint arXiv:math/9911002},
  year   = {2007}
}

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21 pages