Orbit equivalence and Kakutani equivalence with Sturmian subshifts
Studia Mathematica, Tome 142 (2000) no. 1, pp. 25-45
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
Using dimension group tools and Bratteli-Vershik representations of minimal Cantor systems we prove that a minimal Cantor system and a Sturmian subshift are topologically conjugate if and only if they are orbit equivalent and Kakutani equivalent.
Keywords:
Sturmian system, dimension group, Bratteli-Vershik representation
Affiliations des auteurs :
P. Dartnell 1 ; F. Durand 1 ; A. Maass 1
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author = {P. Dartnell and F. Durand and A. Maass},
title = {Orbit equivalence and {Kakutani} equivalence with {Sturmian} subshifts},
journal = {Studia Mathematica},
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volume = {142},
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P. Dartnell; F. Durand; A. Maass. Orbit equivalence and Kakutani equivalence with Sturmian subshifts. Studia Mathematica, Tome 142 (2000) no. 1, pp. 25-45. doi: 10.4064/sm-142-1-25-45
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