arXiv Analytics

Sign in

arXiv:1105.4393 [math.DS]AbstractReferencesReviewsResources

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

Wolfgang Krieger, Kengo Matsumoto

Published 2011-05-23Version 1

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.

Comments: 12 pages
Categories: math.DS, math.OA
Subjects: 37B10, 46L35
Related articles: Most relevant | Search more
arXiv:1502.03981 [math.DS] (Published 2015-02-13)
Two results on entropy, chaos, and independence in symbolic dynamics
arXiv:2006.01051 [math.DS] (Published 2020-06-01)
Symbolic dynamics and the stable algebra of matrices
arXiv:1401.5969 [math.DS] (Published 2014-01-23, updated 2015-02-09)
Entropy of subordinate shift spaces

Links

Toolbox