\(C^\ast\)-algebras associated to Boolean dynamical systems

DOI10.1016/j.jmaa.2017.01.038zbMath1365.37012arXiv1510.06718OpenAlexW1763929613MaRDI QIDQ511281

Toke Meier Carlsen, Enrique Pardo Espino, Eduardo Ortega

Publication date: 14 February 2017

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.06718

zbMATH Keywords

Boolean algebratopological graph\(\ast\)-inverse semigroupgroupoid \(C^\ast\)-algebra

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) General theory of (C^*)-algebras (46L05) Classifications of (C^*)-algebras (46L35) Symbolic dynamics (37B10)

Related Items (14)

The simplicity of the \(C^\ast\)-algebras associated to arbitrary labeled spaces ⋮ CONDITION (K) FOR BOOLEAN DYNAMICAL SYSTEMS ⋮ \(C^*\)-algebras of generalized Boolean dynamical systems as partial crossed products ⋮ Labelled space \(C^\ast \)-algebras as partial crossed products and a simplicity characterization ⋮ Leavitt path algebras of labelled graphs ⋮ Groupoid models for the \(C^*\)-algebra of labelled spaces ⋮ Simple labeled graph \(C^{\ast}\)-algebras are associated to disagreeable labeled spaces ⋮ A generalized uniqueness theorem and the graded ideal structure of Steinberg algebras ⋮ Partial actions and subshifts ⋮ Diagonal-preserving graded isomorphisms of Steinberg algebras ⋮ Purely infinite labeled graph -algebras ⋮ Gauge-invariant ideals of \(C^\ast \)-algebras of Boolean dynamical systems ⋮ AF‐embeddable labeled graph C∗‐algebras ⋮ Boundary path groupoids of generalized Boolean dynamical systems and their \(C^{\ast}\)-algebras

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