C*-algebras associated to Boolean dynamical systems

被引：17

作者：

Carlsen, Toke Meier ^{[1
]}

Ortega, Eduard ^{[2
]}

Pardo, Enrique ^{[3
]}

机构：

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

[2] NTNU, Dept Math Sci, NO-7491 Trondheim, Norway

[3] Univ Cadiz, Fac Ciencias, Dept Matemat, Campus Puerto Real, Puerto Real 11510, Cadiz, Spain

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2017年 / 450卷 / 01期

关键词：

Boolean algebra; Topological graph; *-Inverse semigroup; Groupoid C*-algebra; CUNTZ-KRIEGER ALGEBRAS; LABELED GRAPHS; GROUPOIDS; SIMPLICITY; SEMIGROUP; SUBSHIFTS;

D O I：

10.1016/j.jmaa.2017.01.038

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The goal of these notes is to present the C*-algebra C* (B, G, theta) of a Boolean dynamical system (B, L, theta), that generalises the C*-algebra associated to labelled graphs introduced by Bates and Pask, and to determine its simplicity, its gauge invariant ideals, as well as compute its K-Theory. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：727 / 768

页数：42

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