Principal groupoid $C^*$-algebras with bounded trace
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- by Lisa Orloff Clark and Astrid an Huef PDF
- Proc. Amer. Math. Soc. 136 (2008), 623-634 Request permission
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.References
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Additional Information
- Lisa Orloff Clark
- Affiliation: Department of Mathematical Sciences, Susquehanna University, Selinsgrove, Pennsylvania 17870
- MR Author ID: 624226
- Email: clarklisa@susqu.edu
- Astrid an Huef
- Affiliation: School of Mathematics and Statistics, University of New South Wales, Sydney, NSW 2052, Australia
- MR Author ID: 620419
- Email: astrid@unsw.edu.au
- 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
- © Copyright 2007 American Mathematical Society
- 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
- MathSciNet review: 2358504