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On the nuclearity of certain Cuntz-Pimsner algebras

Fernando Lledó·Ezio Vasselli
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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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Fernando Lledó, Ezio Vasselli. 2006-11-17. On the nuclearity of certain Cuntz-Pimsner algebras. https://arxiv.org/abs/math/0611520

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