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Journal Article
ALGEBRAS OF SELF-SIMILAR ACTION OF GROUPOIDS ON ROW-FINITE DIRECTED GRAPHS
2023
Overview
For amenable discrete groupoids$\\mathcal {G}$and row-finite directed graphs E , let$(\\mathcal {G},E)$be a self-similar groupoid and let$C^*(\\mathcal {G}, E)$be the associated$C^*$-algebra. We introduce a weaker faithfulness condition than those in the existing literature that still guarantees that$C^*(\\mathcal {G})$embeds in$C^*(\\mathcal {G}, E)$. Under this faithfulness condition, we prove a gauge-invariant uniqueness theorem.
Publisher
Cambridge University Press
Subject
