19 citations · 26 across the 5 of their papers we have counts for
5 papers
Equivalence of definitions of AF groupoid
Lisa Orloff Clark, Astrid an Huef, Rafael P. Lima +1
We prove the equivalence of two definitions of AF groupoid in the literature: one by Renault and the other by Farsi, Kumjian, Pask and Sims. In both definitions, an AF groupoid is…
Subsets of vertices give Morita equivalences of Leavitt path algebras
Lisa Orloff Clark, Astrid an Huef, Pareoranga Luiten-Apirana
We show that every subset of vertices of a directed graph E gives a Morita equivalence between a subalgebra and an ideal of the associated Leavitt path algebra. We use this observa…
A Generalised uniqueness theorem and the graded ideal structure of Steinberg algebras
Lisa Orloff Clark, Ruy Exel, Enrique Pardo
Given an ample, Hausdorff groupoid , and a unital commutative ring , we consider the Steinberg algebra . First we prove a uniqueness theorem for…
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…
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…