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Exotic groupoid $C^*$-algebras associated to double groupoids

Year: 2024
Type: article
Abstract: We consider a class of partial action groupoids called double groupoids which are constructed from pairs of subgroups satisfying similar conditions to those of a matched pair of groups. If the double groupoid is étale, then we show that whenever the partially acting group admit exotic ideal completions in the sense of Brown and Guentner, the corresponding double groupoid also admit exotic $C^*$-completions.
Language: English
Open Access status: green
OpenAlex ID: W4404027063
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