Perturbations of crossed product C*-algebras by amenable groups

Shoji Ino

Perturbations of crossed product C*-algebras by amenable groups

Operator Algebras 2016-04-13 v1

Authors: Shoji Ino

Abstract

We study uniform perturbations of crossed product C $^*$ -algebras by amenable groups. Given a unital inclusion of C $^*$ -algebras $C\subseteq D$ 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 $C\subseteq D$ is irreducible, then $A=B$ .

Keywords

C*-algebras crossed products amenable groups perturbations conditional expectation

Cite

@article{arxiv.1604.03230,
  title  = {Perturbations of crossed product C*-algebras by amenable groups},
  author = {Shoji Ino},
  journal= {arXiv preprint arXiv:1604.03230},
  year   = {2016}
}

Comments

30 pages

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