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