Orbit equivalence and Kakutani equivalence with Sturmian subshifts

• Autorzy: P. Dartnell , F. Durand , A. Maass
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Sturmian system; dimension group; Bratteli-Vershik representation

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2000
• Tom: 142
• Numer: 1
• Strony: 25-45

Daty

wydano

2000

otrzymano

1999-06-28

Twórcy

autor

P. Dartnell

• Departamento de Ingeniería Matemática, Universidad de Chile, Casilla 170-3, Correo 3, Santiago, Chile

autor

F. Durand

• Faculté de Mathématiques et d'Informatique, Université de Picardie Jules Verne, 33 rue Saint Leu, 80000 Amiens, France

autor

A. Maass

• Departamento de Ingeniería Matemática, Universidad de Chile, Casilla 170-3, Correo 3, Santiago, Chile

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