English

Decomposing the C*-algebras of groupoid extensions

Operator Algebras 2012-05-09 v2

Abstract

We decompose the full and reduced C*-algebras of an extension of a groupoid by the circle into a direct sum of twisted groupoid C*-algebras.

Keywords

Cite

@article{arxiv.1105.0718,
  title  = {Decomposing the C*-algebras of groupoid extensions},
  author = {Jonathan H. Brown and Astrid an Huef},
  journal= {arXiv preprint arXiv:1105.0718},
  year   = {2012}
}

Comments

In previous version, Propositions 3.9 and 3.10 did not hold in stated generality (see Example 3.11). We fixed the statements of these propositions, shortened Lemma 3.8 and added Example 3.11. 14 pages AMS 2010 subject classification 46L55 46L05