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arXiv · 1204.3127

Simplicity of algebras associated to \'etale groupoids

Jonathan H. Brown·Lisa Orloff Clark·Cynthia Farthing·Aidan Sims
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Abstract

We prove that the C*-algebra of a second-countable, \'etale, amenable groupoid is simple if and only if the groupoid is topologically principal and minimal. We also show that if G has totally disconnected unit space, then the associated complex *-algebra introduced by Steinberg is simple if and only if the interior of the isotropy subgroupoid of G is equal to the unit space and G is minimal.

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Jonathan H. Brown, Lisa Orloff Clark, Cynthia Farthing, Aidan Sims. 2012-04-14. Simplicity of algebras associated to \'etale groupoids. https://arxiv.org/abs/1204.3127

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