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arXiv · 1105.4393

A notion of synchronization of symbolic dynamics and a class of $C^*$-algebras

Wolfgang Krieger·Kengo Matsumoto
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Abstract

We discuss a synchronization property for subshifts, that we call $\lambda$-synchronization. Under an irreducibility assumption we associate to a $\lambda$-synchronizing subshift a simple and purely infinite $C^*$-algebra.

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Wolfgang Krieger, Kengo Matsumoto. 2011-05-23. A notion of synchronization of symbolic dynamics and a class of $C^*$-algebras. https://arxiv.org/abs/1105.4393

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