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arXiv · 1510.06718

$C^*$-algebras associated to Boolean dynamical systems

Toke Meier Carlsen·Eduard Ortega·Enrique Pardo
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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

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Toke Meier Carlsen, Eduard Ortega, Enrique Pardo. 2016-02-08. $C^*$-algebras associated to Boolean dynamical systems. https://doi.org/10.1016/j.jmaa.2017.01.038

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