Hossein Larki

collaborators

3 papers

math.OA2025

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

Hossein Larki, Najmeh Rajabzadeh-Hasiri

The notion of a self-similar ultragraph $(G, U, I ¨ )$ and its $C^{*}$ -algebra $O_{G, U}$ were introduced in our recent work, where we proposed inverse semig…

math.OA2025

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

Hossein Larki, Najmeh Rajabzadeh-Hasiri

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 $C^{*}$ …

math.OA2024

An inverse semigroup approach to self-similar k-graph $C^{*}$ -algebras and simplicity

Hossein Larki

We generalize the Li-Yang notion of self-similar $k$ -graph $(G, I^)$ and its $C^{*}$ -algebra $O_{G, I^}$ to any finitely aligned $k$ -graph $I^$ . We then introduce an inverse…

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

Self-similar group actions on ultragraphs and associated C∗-algebras

An inverse semigroup approach to self-similar k-graph C∗-algebras and simplicity

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

An inverse semigroup approach to self-similar k-graph $C^{*}$ -algebras and simplicity