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Extendable Shift Maps and the Canonical Map on Generalized Countable Markov Shifts

Bissacot, Rodrigo et al.
arXiv (All) · Papers
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dynamical-systemsfunctional-analysisoperator-algebras
We obtain an operator-algebraic characterization of when the shift map can be continuously extended from a standard countable Markov shift $Σ_A$ to its generalized countable Markov shift $X_A$, a compactification of $Σ_A$. We show that a canonical unital completely positive map on the Exel--Laca alg
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