C*-algebras associated to boolean dynamical systems

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C*-algebras associated to boolean dynamical systems

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Title: C*-algebras associated to boolean dynamical systems
Author: Carlsen, Toke Meier; Ortega, Eduardo; Pardo, E.
Departments: Matemáticas
xmlui.dri2xhtml.METS-1.0.item-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.
Subject: Boolean system ; Topological graph ; *-inverse semigroup ; Tight representation ; Tight groupoid ; Groupoid C*-algebra.
Handle: http://hdl.handle.net/10498/17822
Date: 2015-10-23

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