Journal of Operator Theory
Volume 80, Issue 1, Summer 2018 pp. 167-185.
The orbit spaces of groupoids whose C∗-algebras are GCR
Authors:
Daniel W. van Wyk
Author institution: Department of Mathematics and Statistics, University of Otago,
Dunedin, 9010, New Zealand
Summary: Let G be a second countable locally compact Hausdorff groupoid
with a continuous Haar system. We remove the assumption of amenability in a theorem by
Clark about GCR groupoid C∗-algebras. We show that if the groupoid
C∗-algebra of G is GCR then the orbit space of G is a T0 topological
space.
DOI: http://dx.doi.org/10.7900/jot.2017sep11.2185
Keywords: groupoids, C∗-algebras, type I representations, GCR, postliminal
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