Chain conditions for graph C*-algebras-Reference-Cited by-同舟云学术

Chain conditions for graph C*-algebras

Published:2020-03-01 Issue:2 Volume:32 Page:491-500
ISSN:0933-7741
Container-title:Forum Mathematicum
language:
Short-container-title:

Author:

Rouzbehani Mohammad¹,Pourgholamhossein Mahmood¹,Amini Massoud²

Affiliation:

1. Department of Mathematics, Faculty of Sciences, University of Qom, Qom, Iran

2. Department of Mathematics, Faculty of Mathematical Sciences, Tarbiat Modares University, 14115-134; and School of Mathematics, Institute for Research in Fundamental Sciences (IPM), Tehran19395-5746, Iran

Abstract

AbstractIn this article, we study chain conditions for graph C*-algebras. We show that there are infinitely many mutually non isomorphic Noetherian (and Artinian) purely infinite graph C*-algebras with infinitely many ideals. We prove that if E is a graph, then

{C^{*}(E)}

is a Noetherian (resp. Artinian) C*-algebra if and only if E satisfies condition (K) and each ascending (resp. descending) sequence of admissible pairs of E stabilizes.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/forum-2019-0170/pdf

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