C*-algebras associated to Boolean dynamical systems

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:450

Article

Carlsen, Toke Meier¹  Ortega, Eduard²  Pardo, Enrique³ 

[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

关键词: Boolean algebra;    Topological graph;    *-Inverse semigroup;    Groupoid C*-algebra;   

DOI  :  10.1016/j.jmaa.2017.01.038

来源: Elsevier

【 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.

【 授权许可】

Free