$C^*$-algebras of labelled graphs II - simplicity results

Author:

Bates Teresa,Pask David

Abstract

We prove simplicity and pure infiniteness results for a certain class of labelled graph $C^*$-algebras. We show, by example, that this class of unital labelled graph $C^*$-algebras is strictly larger than the class of unital graph $C^*$-algebras.

Publisher

Det Kgl. Bibliotek/Royal Danish Library

Subject

General Mathematics

Cited by 20 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. The simplicity of the C*-algebras associated to arbitrary labeled spaces;Rocky Mountain Journal of Mathematics;2022-02-01

2. Labelled space C⁎-algebras as partial crossed products and a simplicity characterization;Journal of Mathematical Analysis and Applications;2020-11

3. AF‐embeddable labeled graph C∗‐algebras;Bulletin of the London Mathematical Society;2020-08-17

4. Gauge-invariant ideals of C⁎-algebras of Boolean dynamical systems;Journal of Mathematical Analysis and Applications;2020-08

5. Groupoid Models for the C*-Algebra of Labelled Spaces;Bulletin of the Brazilian Mathematical Society, New Series;2019-11-13

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