English

Principal groupoid C*-algebras with bounded trace

Operator Algebras 2007-05-23 v1

Abstract

Suppose G is a second countable, locally compact, Hausdorff, principal groupoid with a fixed left Haar system. We define a notion of integrability for groupoids, and show G is integrable if and only if the groupoid C*-algebra C*(G) has bounded trace.

Keywords

Cite

@article{arxiv.math/0611251,
  title  = {Principal groupoid C*-algebras with bounded trace},
  author = {Lisa Orloff Clark and Astrid an Huef},
  journal= {arXiv preprint arXiv:math/0611251},
  year   = {2007}
}