English

On the nuclearity of certain Cuntz-Pimsner algebras

Operator Algebras 2011-11-18 v1 Mathematical Physics math.MP

Abstract

We give a short proof of the nuclearity property of a class of Cuntz-Pimsner algebras associated with a Hilbert A-bimodule M, where A is a separable and nuclear C*-algebra. We assume that the left A-action on the bimodule M is given in terms of compact module operators and that M is direct summand of the standard Hilbert module over A.

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Cite

@article{arxiv.math/0611520,
  title  = {On the nuclearity of certain Cuntz-Pimsner algebras},
  author = {Fernando Lledó and Ezio Vasselli},
  journal= {arXiv preprint arXiv:math/0611520},
  year   = {2011}
}

Comments

7 pages