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

Published 17 May 2025 in math.OA | (2505.11949v1)

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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