Journal article
Simplicity of algebras associated to ,tale groupoids
Semigroup forum, Vol.88(2), pp.433-452
04/01/2014
DOI: 10.1007/s00233-013-9546-z
Abstract
We prove that the full C (au)-algebra of a second-countable, Hausdorff, ,tale, amenable groupoid is simple if and only if the groupoid is both topologically principal and minimal. We also show that if G has totally disconnected unit space, then the complex (au)-algebra of its inverse semigroup of compact open bisections, as introduced by Steinberg, is simple if and only if G is both effective and minimal.
Details
- Title: Subtitle
- Simplicity of algebras associated to ,tale groupoids
- Creators
- Jonathan Brown - Kansas State UniversityLisa Orloff Clark - University of OtagoCynthia Farthing - University of IowaAidan Sims - University of Wollongong
- Resource Type
- Journal article
- Publication Details
- Semigroup forum, Vol.88(2), pp.433-452
- Publisher
- SPRINGER
- DOI
- 10.1007/s00233-013-9546-z
- ISSN
- 0037-1912
- eISSN
- 1432-2137
- Number of pages
- 20
- Grant note
- Australian Research Council
- Language
- English
- Date published
- 04/01/2014
- Academic Unit
- Mathematics
- Record Identifier
- 9984240866602771
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