H. Larki

activity

20122022

most citedA dichotomy for simple self-similar graph

C^{*}

-algebras

1 citations · 2 across the 9 of their papers we have counts for

collaborators

11 papers

math.RA2022

Exel-Pardo algebras of self-similar $k$ -graphs

Hossein Larki

We introduce the Exel-Pardo $*$ -algebra $EP_{R} (G, Λ)$ associated to a self-similar $k$ -graph $(G, Λ, φ)$ . We prove the $Z^{k}$ -graded and Cuntz-Krieger uniqueness theor…

math.RA2021

Prime and Primitive Ideals of Ultragraph Leavitt Path Algebras

A. Pourabbas, M. Imanfar, H. Larki

Let $G$ be an ultragraph and let $K$ be a field. We describe prime and primitive ideals in the ultragraph Leavitt path algebra $L_{K} (G)$ . We identify the graded pr…

math.OA2020★ 1 cited

A dichotomy for simple self-similar graph $C^{*}$ -algebras

Hossein Larki

We investigate the pure infiniteness and stable finiteness of the Exel-Pardo $C^{*}$ -algebras $O_{G, E}$ for countable self-similar graphs $(G, E, φ)$ . In particular, we assoc…

math.RA2019

Non-simple purely infinite Steinberg Algebras with applications to Kumjian-Pask algebras

Hossein Larki

In this paper, we characterize properly purely infinite Steinberg algebras $A_{K} (G)$ for strongly effective, ample Hausdorff groupoids $G$ . As an application, wh…

math.OA2017

Primitive ideal space of Higher-rank graph $C^{*}$ -algebras and decomposability

Hossein Larki

In this paper, we describe primitive ideal space of the $C^{*}$ -algebra $C^{*} (Λ)$ associated to any locally convex row-finite $k$ -graph $Λ$ . To do this, we will apply the Farthing's d…

math.OA2017★ 1 cited

Primitive ideals and pure infiniteness of ultragraph $C^{*}$ -algebras

Hossein Larki

Let $G$ be an ultragraph and let $C^{*} (G)$ be the associated $C^{*}$ -algebra introduced by Mark Tomforde. For any gauge invariant ideal $I_{(H, B)}$ of $C^*(\mathca…

math.RA2016

Purely infinite simple Kumjian-Pask algebras

Hossein Larki

Given any finitely aligned higher-rank graph $Λ$ and any unital commutative ring $R$ , the Kumjian-Pask algebra $KP_{R} (Λ)$ is known as the higher-rank generalization of Leav…

math.RA2015

Prime and primitive Kumjian-Pask algebras

Maryam Kashoul-Radjabzadeh, Hossein Larki, Abdolmohammad Aminpour

In this paper, prime as well as primitive Kumjian-Pask algebras $KP_{R} (Λ)$ of a row-finite $k$ -graph $Λ$ over a unital commutative ring $R$ are completely characterized in…

math.OA2015

Quotients of Ultragraph C*-Algebras

Hossein Larki

Let $G$ be an ultragraph and let $C^{*} (G)$ be the associated $C^{*}$ -algebra introduced by Mark Tomforde. For any gauge invariant ideal $I_{(H, B)}$ of $C^*(\mathca…

math.RA2012

Stable rank of Leavitt path algebras of arbitrary graphs

Hossein Larki, Abdolhamid Riazi

The stable rank of Leavitt path algebras of row-finite graphs was computed by Ara and Pardo. In this paper we extend this for an arbitrary directed graph. In some parts, we proceed…

math.RA2012

Ideal structure of Leavitt path algebras with coefficients in a unital commutative ring

Hossein Larki

Let $E$ be an arbitrary (countable) graph and let $R$ be a unital commutative ring. We analyze the ideal structure of the Leavitt path algebra $\lr$ introduced by Mark Tomforde. We…

Exel-Pardo algebras of self-similar k-graphs

Prime and Primitive Ideals of Ultragraph Leavitt Path Algebras

A dichotomy for simple self-similar graph C∗-algebras

Non-simple purely infinite Steinberg Algebras with applications to Kumjian-Pask algebras

Primitive ideal space of Higher-rank graph C∗-algebras and decomposability

Primitive ideals and pure infiniteness of ultragraph C∗-algebras

Purely infinite simple Kumjian-Pask algebras

Prime and primitive Kumjian-Pask algebras

Quotients of Ultragraph C*-Algebras

Stable rank of Leavitt path algebras of arbitrary graphs

Ideal structure of Leavitt path algebras with coefficients in a unital commutative ring

Exel-Pardo algebras of self-similar $k$ -graphs

A dichotomy for simple self-similar graph $C^{*}$ -algebras

Primitive ideal space of Higher-rank graph $C^{*}$ -algebras and decomposability

Primitive ideals and pure infiniteness of ultragraph $C^{*}$ -algebras