The absorption theorem for affable equivalence relations

DOI10.1017/S0143385707000946zbMath1166.37004arXiv0705.3270MaRDI QIDQ3623583

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

Publication date: 21 April 2009

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0705.3270

zbMATH Keywords

Cantor setaffable equivalence relation

Mathematics Subject Classification ID

(C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Symbolic dynamics (37B10)

Related Items (12)

Dynamics in dimension zero A survey ⋮ Orbit equivalence for Cantor minimal \(\mathbb Z^d\)-systems ⋮ Orbit equivalence of Cantor minimal systems and their continuous spectra ⋮ From invariant measures to orbit equivalence, via locally finite groups ⋮ Tiling groupoids and Bratteli diagrams ⋮ Groups and dynamics: topology, measure, and Borel structure. Abstracts from the workshop held January 16--22, 2022 ⋮ Bratteli–Vershik models for partial actions of ℤ ⋮ Orbit equivalence for Cantor minimal ℤ²-systems ⋮ Orbit equivalence of Cantor minimal systems: a survey and a new proof ⋮ Affability of Euclidean tilings ⋮ An absorption theorem for minimal AF equivalence relations on Cantor sets ⋮ Algebraic invariants for group actions on the Cantor set

Cites Work

• Orbit equivalence for Cantor minimal ℤ²-systems
• Affable equivalence relations and orbit structure of Cantor dynamical systems
• AF-equivalence relations

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