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math.OA2020
Reconstructing Etale Groupoids from Semigroups
Tristan Bice, Lisa Orloff Clark
We unify various étale groupoid reconstruction theorems such as: 1) Kumjian-Renault's reconstruction from a groupoid C*-algebra. 2) Exel's reconstruction from an ample inverse semi…
math.OA2019
An Algebraic Approach to the Weyl Groupoid
Tristan Bice
We unify the Kumjian-Renault Weyl groupoid construction with the Lawson-Lenz version of Exel's tight groupoid construction. We do this by utilising only a weak algebraic fragment o…
math.OA2012★ 1 cited
MAD Families of Projections on l^2 and Real-Valued Functions on Omega
Tristan Bice
Two sets are said to be almost disjoint if their intersection is finite. Almost disjoint subsets of [omega]^omega and omega^omega have been studied for quite some time. In particul…