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arXiv · 1206.0388

Weak Exactness for C*-algebras and Application to Condition (AO)

Yusuke Isono
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Abstract

We generalize Kirchberg's weak exactness to inclusions of C*-algebras in von Neumann algebras and study some characterizations and permanence properties which are similar to those of exact groups. We then consider a similar condition to Ozawa's condition (AO) with our weak exactness and generalize Ozawa's theorem for bi-exact groups. As a corollary, we give new examples of prime factors.

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Yusuke Isono. 2012-06-02. Weak Exactness for C*-algebras and Application to Condition (AO). https://arxiv.org/abs/1206.0388

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