Geodesic
Invariant measures and orbit equivalence for generalized Toeplitz subshifts
María Isabel Cortez1 ; Samuel Petite2
1Universidad de Santiago, Chile
2Université de Picardie Jules Verne, Amiens, France
Groups, geometry, and dynamics, Tome 8 (2014) no. 4, pp. 1007-1045

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DOI

We show that for every metrizable Choquet simplex K and for every group G which is innite, countable, amenable and residually nite, there exists a Toeplitz G-subshift whose set of shift-invariant probability measures is anely homeomorphic to K. Furthermore, we get that for every integer d1 and every Toeplitz flow (X,T),thereexistsaToeplitz \mathbb Z^d−subshiftwhichistopologicallyorbitequivalentto (X, T)$.
DOI : 10.4171/ggd/255
Classification : 37-XX
Mots-clés : Toeplitz subshift, discrete group actions, invariant measures, orbit equivalence

María Isabel Cortez  1   ; Samuel Petite  2

1 Universidad de Santiago, Chile
2 Université de Picardie Jules Verne, Amiens, France 
María Isabel Cortez; Samuel Petite. Invariant measures and orbit equivalence for generalized Toeplitz subshifts. Groups, geometry, and dynamics, Tome 8 (2014) no. 4, pp. 1007-1045. doi: 10.4171/ggd/255
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     author = {Mar{\'\i}a Isabel Cortez and Samuel Petite},
     title = {Invariant measures and orbit equivalence for generalized {Toeplitz} subshifts},
     journal = {Groups, geometry, and dynamics},
     pages = {1007--1045},
     year = {2014},
     volume = {8},
     number = {4},
     doi = {10.4171/ggd/255},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/255/}
}
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