Purely infinite simple C*-algebras that are principal groupoid C*-algebras

Jonathan H. Brown; Lisa Orloff Clark; Adam Sierakowski; Aidan Sims

Purely infinite simple C-algebras that are principal groupoid C-algebras

Operator Algebras 2016-02-29 v2

Authors: Jonathan H. Brown , Lisa Orloff Clark , Adam Sierakowski , Aidan Sims

Abstract

From a suitable groupoid G, we show how to construct an amenable principal groupoid whose C*-algebra is a Kirchberg algebra which is KK-equivalent to C*(G). Using this construction, we show by example that many UCT Kirchberg algebras can be realised as the C*-algebras of amenable principal groupoids.

Keywords

C*-algebras principal groupoids Kirchberg algebras KK-equivalence amenable groupoids UCT

Cite

@article{arxiv.1504.04794,
  title  = {Purely infinite simple C*-algebras that are principal groupoid C*-algebras},
  author = {Jonathan H. Brown and Lisa Orloff Clark and Adam Sierakowski and Aidan Sims},
  journal= {arXiv preprint arXiv:1504.04794},
  year   = {2016}
}

Comments

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