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arXiv · 1911.12172

Gauge-invariant ideals of C*-algebras of Boolean dynamical systems

Toke Meier Carlsen·Eun Ji Kang
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Abstract

We enlarge the class of $C^*$-algebras of Boolean dynamical systems in order to include all weakly left-resolving normal labelled space $C^*$-algebras in it. We prove a gauge-invariant uniqueness theorem and classify all gauge-invariant ideals of these $C^*$-algebras of generalized Boolean dynamical systems and describe the corresponding quotients as $C^*$-algebras of relative generalized Boolean dynamical systems.

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Toke Meier Carlsen, Eun Ji Kang. 2019-11-27. Gauge-invariant ideals of C*-algebras of Boolean dynamical systems. https://doi.org/10.1016/j.jmaa.2020.124037

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