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math.OA2014★ 19 cited
Purely infinite -algebras associated to étale groupoids
Jonathan Brown, Lisa Orloff Clark, Adam Sierakowski
Let be a Hausdorff, étale groupoid that is minimal and topologically principal. We show that is purely infinite simple if and only if all the nonzero positive elemen…
math.RA2014★ 1 cited
Uniqueness Theorems for Steinberg Algebras
Lisa Orloff Clark, Cain Edie-Michell
We prove Cuntz-Krieger and graded uniqueness theorems for Steinberg algebras. We also show that a Steinberg algebra is basically simple if and only if its associated groupoid is bo…