Orbit equivalence and Kakutani equivalence with Sturmian subshifts

P. Dartnell; F. Durand; A. Maass

Studia Mathematica (2000)

  • Volume: 142, Issue: 1, page 25-45
  • ISSN: 0039-3223

Abstract

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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.

How to cite

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Dartnell, P., Durand, F., and Maass, A.. "Orbit equivalence and Kakutani equivalence with Sturmian subshifts." Studia Mathematica 142.1 (2000): 25-45. <http://eudml.org/doc/216787>.

@article{Dartnell2000,
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.},
author = {Dartnell, P., Durand, F., Maass, A.},
journal = {Studia Mathematica},
keywords = {Sturmian system; dimension group; Bratteli-Vershik representation; minimal system; orbit equivalence; Kakutani equivalence; topological conjugacy; Cantor system; Sturmian subshift; Bratelli-Vershik representation},
language = {eng},
number = {1},
pages = {25-45},
title = {Orbit equivalence and Kakutani equivalence with Sturmian subshifts},
url = {http://eudml.org/doc/216787},
volume = {142},
year = {2000},
}

TY - JOUR
AU - Dartnell, P.
AU - Durand, F.
AU - Maass, A.
TI - Orbit equivalence and Kakutani equivalence with Sturmian subshifts
JO - Studia Mathematica
PY - 2000
VL - 142
IS - 1
SP - 25
EP - 45
AB - 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.
LA - eng
KW - Sturmian system; dimension group; Bratteli-Vershik representation; minimal system; orbit equivalence; Kakutani equivalence; topological conjugacy; Cantor system; Sturmian subshift; Bratelli-Vershik representation
UR - http://eudml.org/doc/216787
ER -

References

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