English

The orbit spaces of groupoids whose $C^*$-algebras are CCR

Operator Algebras 2018-07-25 v2

Abstract

Let G be second countable locally compact Hausdorff groupoid with a continuous Haar system. We remove the assumption of amenability in a theorem of Clark about groupoids whose CC^*-algebras are CCR. We show that if the groupoid C*-algebra of G is CCR then the orbits of G are closed.

Keywords

Cite

@article{arxiv.1806.05623,
  title  = {The orbit spaces of groupoids whose $C^*$-algebras are CCR},
  author = {Daniel W van Wyk},
  journal= {arXiv preprint arXiv:1806.05623},
  year   = {2018}
}

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