On the nuclearity of certain Cuntz-Pimsner algebras

Details On the nuclearity of certain Cuntz-Pimsner algebras On the nuclearity of certain Cuntz-Pimsner algebras

2006-11-17

arxiv.org/abs/math/0611520v1

Mathematische Nachrichten 283(5) (2010) 752-757

Mathematics

Operator Algebras

7 pages

Scientific 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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