STRONG ORBIT EQUIVALENCE OF LOCALLY COMPACT CANTOR MINIMAL SYSTEMS

DOI10.1142/S0129167X0100068XzbMath1110.37300OpenAlexW2055332504MaRDI QIDQ2728530

Alexandre I. Danilenko

Publication date: 1 August 2001

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

Full work available at URL: https://doi.org/10.1142/s0129167x0100068x

Mathematics Subject Classification ID

Related Items (16)

Almost minimal systems and periodicity in hyperspaces ⋮ A relative, strictly ergodic model theorem for infinite measure-preserving systems ⋮ Uniform sets for infinite measure-preserving systems ⋮ Shifts of finite type as fundamental objects in the theory of shadowing ⋮ Finite-rank Bratteli–Vershik homeomorphisms are expansive ⋮ Actions of finite rank: weak rational ergodicity and partial rigidity ⋮ Topological full groups of ample groupoids with applications to graph algebras ⋮ Subshifts with sparse traces ⋮ Periodic codings of Bratteli-Vershik systems ⋮ Comparability of clopen sets in a zero-dimensional dynamical system ⋮ Recurrence and almost periodicity on dendrites ⋮ Invariant measures for the subshifts arising from non-primitive substitutions ⋮ Funny rank-one weak mixing for nonsingular Abelian actions ⋮ Shadowing, finite order shifts and ultrametric spaces ⋮ Rank-one actions, their \((C, F)\)-models and constructions with bounded parameters ⋮ Ideal structure of crossed products by endomorphisms via reversible extensions of C*-dynamical systems

Cites Work

• The \(C^*\)-algebras associated with minimal homeomorphisms of the Cantor set
• Full groups of Cantor minimal systems
• Orbit equivalence, flow equivalence and ordered cohomology
• A theorem on the Markov periodic approximation in ergodic theory
• ORDERED BRATTELI DIAGRAMS, DIMENSION GROUPS AND TOPOLOGICAL DYNAMICS
• WEAK ORBIT EQUIVALENCE OF CANTOR MINIMAL SYSTEMS

This page was built for publication: STRONG ORBIT EQUIVALENCE OF LOCALLY COMPACT CANTOR MINIMAL SYSTEMS