Invariant measures and orbit equivalence for generalized Toeplitz subshifts
María Isabel Cortez
Universidad de Santiago, ChileSamuel Petite
Université de Picardie Jules Verne, Amiens, France
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Abstract
We show that for every metrizable Choquet simplex and for every group which is innite, countable, amenable and residually nite, there exists a Toeplitz -subshift whose set of shift-invariant probability measures is anely homeomorphic to . Furthermore, we get that for every integer and every Toeplitz flow \mathbb Z^d (X, T)$.
Cite this article
María Isabel Cortez, Samuel Petite, Invariant measures and orbit equivalence for generalized Toeplitz subshifts. Groups Geom. Dyn. 8 (2014), no. 4, pp. 1007–1045
DOI 10.4171/GGD/255