Étale groupoids and Steinberg algebras, a concise introduction

2019/01/06 by Lisa Orloff Clark, Clark, Lisa Orloff, Roozbeh Hazrat +1 · 4 citations
Mathematics · #FOS: Mathematics #Operator Algebras (math.OA) #Rings and Algebras (math.RA) #math.OA #math.RA

paper · pdf · doi:10.48550/arxiv.1901.01612

arxiv created 2019/01/06 · arxiv updated 2019/01/08

Abstract

We give a concise introduction to (discrete) algebras arising from étale groupoids, (aka Steinberg algebras) and describe their close relationship with groupoid C*-algebras. Their connection to partial group rings via inverse semigroups also explored.

Cited by

• Embedding K-algebras into Leavitt algebra L_K(1, 2)
• A topological approach to discrete restriction semigroups and their algebras
• Graded Lawson-Stone Duality
• Maximal Commutative Subalgebras of Steinberg Algebras

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