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.
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页数：35
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