Exactness of Cuntz-Pimsner C*-algebras

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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.
21 pages

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Operator Algebras, 46L05

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http://salesiana.dossiersoluciones.com/handle/123456789/79324

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9911002
 http://arxiv.org/abs/math/9911002

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arXiv