Self-similar group actions on ultragraphs and associated $C^*$-algebras
Operator Algebras
2025-05-20 v1
Abstract
As a generalization of the Exel-Pardo's notion of self-similar graph, we introduce self-similar group actions on ultragraphs and their -algebras. We then approach to the -algebras by inverse semigroup and tight groupoid models.
Cite
@article{arxiv.2505.11949,
title = {Self-similar group actions on ultragraphs and associated $C^*$-algebras},
author = {Hossein Larki and Najmeh Rajabzadeh-Hasiri},
journal= {arXiv preprint arXiv:2505.11949},
year = {2025}
}
Comments
29 pages