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

Hossein Larki; Najmeh Rajabzadeh-Hasiri

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arXiv · 2505.11949

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

Hossein Larki·Najmeh Rajabzadeh-Hasiri

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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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Hossein Larki, Najmeh Rajabzadeh-Hasiri. 2025-05-17. Self-similar group actions on ultragraphs and associated $C^*$-algebras. https://arxiv.org/abs/2505.11949

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