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arXiv · 1709.02871

The orbit space of groupoids whose $C^*$-algebras are GCR

Daniel W van Wyk
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Abstract

Let $G$ be 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 orbits of $G$ are locally closed.

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Daniel W van Wyk. 2017-09-08. The orbit space of groupoids whose $C^*$-algebras are GCR. https://arxiv.org/abs/1709.02871

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