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arXiv · 1909.04456

Labelled space $C^*$-algebras as partial crossed products and a simplicity characterization

Gilles G. de Castro·Daniel W. van Wyk
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Abstract

A partial action is associated with a normal weakly left resolving labelled space such that the crossed product and labelled space $C^*$-algebras are isomorphic. An improved characterization of simplicity for labelled space $C^*$-algebras is given and applied to $C^*$-algebras of subshifts.

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Gilles G. de Castro, Daniel W. van Wyk. 2019-09-10. Labelled space $C^*$-algebras as partial crossed products and a simplicity characterization. https://arxiv.org/abs/1909.04456

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