Set of invariant measures of generalized Toeplitz subshifts
Résumé
We show that for every metrizable Choquet simplex $K$ and for every group $G$, which is amenable, finitely generated and residually finite, there exists a Toeplitz $G$-subshift whose set of shift-invariant probability measures is affine homeomorphic to $K$. Furthermore, we get that for every integer $d\geq 1$ and every minimal Cantor system $(X,T)$ whose dimension group is divisible, there exists a minimal Toeplitz ${\mathbb Z}^d$-subshift which is topologically orbit equivalent to $(X,T)$.
Origine : Fichiers produits par l'(les) auteur(s)
Loading...