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arxiv: 1105.4393 · v1 · pith:X7PZJ7UQnew · submitted 2011-05-23 · 🧮 math.DS · math.OA

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

classification 🧮 math.DS math.OA
keywords synchronizationlambdaalgebraalgebrasassociateassumptioncallclass
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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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