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On the nuclearity of certain Cuntz-Pimsner algebras

✍ Scribed by Fernando Lledó; Ezio Vasselli

Publisher
John Wiley and Sons
Year
2010
Tongue
English
Weight
113 KB
Volume
283
Category
Article
ISSN
0025-584X

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✦ Synopsis

Pimsner algebra, nuclear C * -algebra, Hilbert bimodule MSC (2000) 46L08, 47L80

In the present paper, 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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