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

Z-stability of crossed products by strongly outer actions