C*-algebras associated to Boolean dynamical systems

Abstract

The goal of these notes is to present theC∗-algebraC∗(B,L,θ) of a Boolean dynamical system(B,L,θ), that generalizes theC∗-algebra associated to labelled graphs introduced by Bates and Pask, and todetermine its simplicity, its gauge invariant ideals, as well as compute its K-Theory.