101 citations · 209 across the 33 of their papers we have counts for
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A groupoid formulation of the Baire Category Theorem
Jonathan Henry Brown, Lisa Orloff Clark
We prove that the Baire Category Theorem is equivalent to the following: Let G be a topological groupoid such that the unit space is a complete metric space, and there is a countab…
The equivalence relations of local homeomorphisms and Fell algebras
Lisa Orloff Clark, Astrid an Huef, Iain Raeburn
We study the groupoid C*-algebras associated to the equivalence relation induced by a quotient map on a locally compact Hausdorff space. This C*-algebra is always a Fell algebra, a…
Simplicity of algebras associated to étale groupoids
Jonathan H. Brown, Lisa Orloff Clark, Cynthia Farthing +1
We prove that the C*-algebra of a second-countable, étale, amenable groupoid is simple if and only if the groupoid is topologically principal and minimal. We also show that if G ha…