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arXiv · 2003.04443

Strongly graded groupoid and directed graph algebras

Lisa Orloff Clark·Ellis Dawson·Iain Raeburn
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Abstract

We show the reduced $C^*$-algebra of a graded ample groupoid is a strongly graded $C^*$-algebra if and only if the corresponding Steinberg algebra is a strongly graded ring. We apply this result to get a theorem about the Leavitt path algebra and $C^*$-algebra of an arbitrary graph.

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Lisa Orloff Clark, Ellis Dawson, Iain Raeburn. 2020-03-09. Strongly graded groupoid and directed graph algebras. https://arxiv.org/abs/2003.04443

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