arXiv:0912.4804 Abstract | arXiv Analytics

arXiv:0912.4804 [math.OA]Abstract References Reviews Resources

Z-stability of crossed products by strongly outer actions

Published 2009-12-24, updated 2011-07-03Version 2

We consider a certain class of unital simple stably finite C^*-algebras which absorb the Jiang-Su algebra Z tensorially. Under a mild assumption, we show that the crossed product of a C^*-algebra in this class by a strongly outer action of Z^N or a finite group is Z-stable. As an application, we also prove that all strongly outer actions of Z^2 on Z are mutually cocycle conjugate.

Categories: math.OA

Subjects: 46L40, 46L55

Keywords: strongly outer action, crossed product, z-stability, unital simple stably finite, mild assumption

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