Labelled space C*-algebras as partial crossed products and a simplicity characterization

被引：11

作者：

de Castro, Gilles G. ^{[1
]}

van Wyk, Daniel W. ^{[1
,2
]}

机构：

[1] Univ Fed Santa Catarina, Dept Matemat, BR-88040970 Florianopolis, SC, Brazil

[2] Dartmouth Coll, Dept Math, Hanover, NH 03755 USA

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2020年 / 491卷 / 01期

关键词：

C*-algebra; Labelled space; Partial actions; Partial crossed products; Groupoid; PARTIAL DYNAMICAL-SYSTEMS; CUNTZ-KRIEGER ALGEBRAS; INVERSE-SEMIGROUPS; GROUPOIDS; GRAPHS;

D O I：

10.1016/j.jmaa.2020.124290

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A partial action is associated with a normal weakly left resolving labelled space such that the crossed product and labelled space C*-algebras are isomorphic. An improved characterization of simplicity for labelled space C*-algebras is given and applied to C*-algebras of subshifts. (C) 2020 Elsevier Inc. All rights reserved.

引用

页数：35