A BRATTELI DIAGRAM FOR COMMUTING HOMEOMORPHISMS OF THE CANTOR SET

DOI10.1142/S0129167X00000106zbMath1110.37301MaRDI QIDQ2728497

A. H. Forrest

Publication date: 1 August 2001

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

Mathematics Subject Classification ID

Related Items (9)

Tower systems for linearly repetitive Delone sets ⋮ The discriminant invariant of Cantor group actions ⋮ Orbit equivalence for Cantor minimal \(\mathbb Z^d\)-systems ⋮ Shape of matchbox manifolds ⋮ Orbit equivalence for Cantor minimal ℤ²-systems ⋮ A map maintaining the orbits of a given $\mathbb {Z}^d$-action ⋮ Crossed products of the Cantor set by free minimal actions of \(\mathbb Z^d\) ⋮ COCYCLES FOR CANTOR MINIMAL ℤ^d-SYSTEMS ⋮ Topological speedups of ℤ^d-actions

Cites Work

• The \(C^*\)-algebras associated with minimal homeomorphisms of the Cantor set
• On the classification of inductive limits of sequences of semisimple finite-dimensional algebras
• On ergodic flows and the isomorphism of factors
• \(K\)-groups associated with substitution minimal systems
• A theorem on the Markov periodic approximation in ergodic theory
• Commuting measure-preserving transformations
• On Groups of Measure Preserving Transformations. I
• Dimension Groups and Their Affine Representations
• An amenable equivalence relation is generated by a single transformation
• The cohomology and $K$-theory of commuting homeomorphisms of the Cantor set
• The Structure of Hyperfinite Borel Equivalence Relations
• ORDERED BRATTELI DIAGRAMS, DIMENSION GROUPS AND TOPOLOGICAL DYNAMICS
• Induced measure preserving transformations

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