The Relationship Between Entropy and Strong Orbit Equivalence for the Minimal Homeomorphisms (I)

DOI10.1142/S0129167X03001958zbMath1055.37007MaRDI QIDQ4474440

Fumiaki Sugisaki

Publication date: 12 July 2004

Published in: International Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

topological entropydimension grouporbit equivalenceminimal Cantor systems

Mathematics Subject Classification ID

Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Topological entropy (37B40) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20)

Related Items (5)

On the dimension group of unimodular \(\mathcal{S}\)-adic subshifts ⋮ Eigenvalues and strong orbit equivalence ⋮ Topological semi-conjugacies between adding machines ⋮ Examples of different minimal diffeomorphisms giving the same \(C^*\)-algebras ⋮ Universally measure-preserving homeomorphisms of Cantor minimal systems

Cites Work

• Ergodic theory on compact spaces
• The relationship between entropy and strong orbit equivalence for the minimal homeomorphisms. II
• Entropy versus orbit equivalence for minimal homeomorphisms
• Strong orbit realization for minimal homeomorphisms
• ORDERED BRATTELI DIAGRAMS, DIMENSION GROUPS AND TOPOLOGICAL DYNAMICS

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