Z-stability of crossed products by strongly outer actions

Details Z-stability of crossed products by strongly outer actions Z-stability of crossed products by strongly outer actions

2009-12-24

arxiv.org/abs/0912.4804v2

Mathematics

Operator Algebras

Scientific paper

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.

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