C*-algebras associated to boolean dynamical systems

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URI: http://hdl.handle.net/10498/17822

DOI: 10.1016/j.jmaa.2017.01.038

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Author/s
Carlsen, Toke Meier; Ortega, Eduardo; Pardo Espino, EnriqueAuthority UCA
Date
2015-10-23
Department
Matemáticas
Source
arXiv:1510.06718v1 [math.OA]
Abstract
The goal of these notes is to present the C*-algebra C*(B,L,θ) of a Boolean dynamical system (B,L,θ), that generalizes 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.
Subjects
Boolean system; Topological graph; *-inverse semigroup; Tight representation; Tight groupoid; Groupoid C*-algebra
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Attribution-NonCommercial-NoDerivatives 4.0 Internacional
This work is under a Creative Commons License Attribution-NonCommercial-NoDerivatives 4.0 Internacional