Self-similar group actions on ultragraphs and associated C^*-algebras

2025/05/17 by Larki, Hossein, Rajabzadeh-Hasiri, Najmeh · 1 citation
#46L05 #FOS: Mathematics #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.2505.11949

Abstract

As a generalization of the Exel-Pardo's notion of self-similar graph, we introduce self-similar group actions on ultragraphs and their C^*-algebras. We then approach to the C^*-algebras by inverse semigroup and tight groupoid models.

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• Minimality and effectiveness of the groupoid associated to a self-similar ultragraph

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