Perturbations of crossed product C*-algebras by amenable groups

2016/04/12 by Ino, Shoji
#46L05 #FOS: Mathematics #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.1604.03230

Abstract

We study uniform perturbations of crossed product C^*-algebras by amenable groups. Given a unital inclusion of C^*-algebras C⊆ D and sufficiently close separable intermediate C^*-subalgebras A, B for this inclusion with a conditional expectation from D onto B, if A=C\rtimes G with G discrete amenable, then A and B are isomorphic. Furthermore, if C⊆ D is irreducible, then A=B.

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