English

Structure of crossed products by strictly proper actions on continuous-trace algebras

Operator Algebras 2012-08-23 v1

Abstract

We examine the ideal structure of crossed products B\rtimes G where B is a continuous-trace C*-algebra and the induced action of G on the spectrum of B is proper. In particular, we are able to obtain a concrete description of the topology on the spectrum of the crossed product in the cases where either G is discrete or G is a Lie group acting smoothly on the spectrum of B.

Keywords

Cite

@article{arxiv.1208.4488,
  title  = {Structure of crossed products by strictly proper actions on continuous-trace algebras},
  author = {Siegfried Echterhoff and Dana P. Williams},
  journal= {arXiv preprint arXiv:1208.4488},
  year   = {2012}
}

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25 Pages