Gauge-invariant ideals of C*-algebras of Boolean dynamical systems

被引：6

作者：

Carlsen, Toke Meier ^{[1
]}

Kang, Eun Ji ^{[2
]}

机构：

[1] Univ Faroe Isl, Dept Sci & Technol, Noatun 3, FO-100 Torshavn, Denmark

[2] Seoul Natl Univ, Res Inst Math, Seoul 08826, South Korea

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2020年 / 488卷 / 01期

基金：

新加坡国家研究基金会;

关键词：

Relative Cuntz-Pimsner algebras; Cuntz-Pimsner algebras; C*-algebras of Boolean dynamical systems; Labelled graph C*-algebras; Gauge-invariant uniqueness theorem; Gauge-invariant ideals; REPRESENTATIONS;

D O I：

10.1016/j.jmaa.2020.124037

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We enlarge the class of C*-algebras of Boolean dynamical systems in order to include all weakly left-resolving normal labelled space C*-algebras in it. We prove a gauge-invariant uniqueness theorem and classify all gauge-invariant ideals of these C*-algebras of generalized Boolean dynamical systems and describe the corresponding quotients as C*-algebras of relative generalized Boolean dynamical systems. (C) 2020 Elsevier Inc. All rights reserved.

引用

页数：27

共 50 条

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