Weak Exactness for C*-algebras and Application to Condition (AO)
Operator Algebras
2014-01-28 v1
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.
Keywords
Cite
@article{arxiv.1206.0388,
title = {Weak Exactness for C*-algebras and Application to Condition (AO)},
author = {Yusuke Isono},
journal= {arXiv preprint arXiv:1206.0388},
year = {2014}
}
Comments
31 pages