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ArticleOriginal scientific text

Title

Orbit equivalence and Kakutani equivalence with Sturmian subshifts

Authors 1, 2, 1

Affiliations

  1. Departamento de Ingeniería Matemática, Universidad de Chile, Casilla 170-3, Correo 3, Santiago, Chile
  2. Faculté de Mathématiques et d'Informatique, Université de Picardie Jules Verne, 33 rue Saint Leu, 80000 Amiens, France

Abstract

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

ENG
Sturmian system, dimension group, Bratteli-Vershik representation

Bibliography

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Studia Mathematica
2000/142/1
Export to PBN, Opens in new tab
Pages:
25-45
Main language of publication
English
Received
1999-06-28
Published
2000
Exact and natural sciences