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

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

2011-05-23

arxiv.org/abs/1105.4393v1

Mathematics

Dynamical Systems

12 pages

Scientific paper

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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