Principal groupoid -algebras with bounded trace

Authors:
Lisa Orloff Clark and Astrid an Huef

Journal:
Proc. Amer. Math. Soc. **136** (2008), 623-634

MSC (2000):
Primary 46L05, 46L55

DOI:
https://doi.org/10.1090/S0002-9939-07-09035-1

Published electronically:
October 26, 2007

MathSciNet review:
2358504

Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: Suppose 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 is integrable if and only if the groupoid -algebra has bounded trace.

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Additional Information

**Lisa Orloff Clark**

Affiliation:
Department of Mathematical Sciences, Susquehanna University, Selinsgrove, Pennsylvania 17870

Email:
clarklisa@susqu.edu

**Astrid an Huef**

Affiliation:
School of Mathematics and Statistics, University of New South Wales, Sydney, NSW 2052, Australia

Email:
astrid@unsw.edu.au

DOI:
https://doi.org/10.1090/S0002-9939-07-09035-1

Keywords:
Locally compact groupoid,
$C^*$-algebra,
bounded trace

Received by editor(s):
August 23, 2006

Received by editor(s) in revised form:
December 6, 2006

Published electronically:
October 26, 2007

Additional Notes:
This research was supported by the Australian Research Council and an AWM-NSF Mentoring Travel Grant.

Communicated by:
Joseph A. Ball

Article copyright:
© Copyright 2007
American Mathematical Society