COCYCLES FOR CANTOR MINIMAL ℤd-SYSTEMS

DOI10.1142/S0129167X09005686zbMath1187.37008MaRDI QIDQ3646138

Ian F. Putnam, Thierry Giordano, Christian F. Skau

Publication date: 19 November 2009

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

zbMATH Keywords

dynamical systemscohomologyCantor setcocyclesfree action

Mathematics Subject Classification ID

Symbolic dynamics (37B10) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20)

Related Items (5)

Block maps between primitive uniform and Pisot substitutions ⋮ Orbit equivalence for Cantor minimal \(\mathbb Z^d\)-systems ⋮ Small cocycles, fine torus fibrations, and a \({\mathbb {Z}^{2}}\) subshift with neither ⋮ Fundamental group of uniquely ergodic Cantor minimal systems ⋮ \(\mathbb{Z}^d\)-odometers and cohomology

Cites Work

• Crossed products of the Cantor set by free minimal actions of \(\mathbb Z^d\)
• A BRATTELI DIAGRAM FOR COMMUTING HOMEOMORPHISMS OF THE CANTOR SET
• The cohomology and $K$-theory of commuting homeomorphisms of the Cantor set
• ORDERED BRATTELI DIAGRAMS, DIMENSION GROUPS AND TOPOLOGICAL DYNAMICS

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