Amenable versus hyperfinite Borel equivalence relations

DOI10.2307/2275102zbMath0795.03067OpenAlexW2063236203MaRDI QIDQ4276026

Alexander S. Kechris

Publication date: 20 September 1994

Published in: Journal of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://authors.library.caltech.edu/38599/

zbMATH Keywords

invariant setamenable groupnonatomic measureergodic measureBorel spaceBorel automorphismhyperfinite equivalence relationBorel actioncountable Borel equivalence relationamenable relationaperiodic relationsmooth relationuniversally measurable isomorphism

Mathematics Subject Classification ID

Descriptive set theory (03E15) Measures on groups and semigroups, etc. (43A05) Means on groups, semigroups, etc.; amenable groups (43A07)

Related Items

The classification problem for torsion-free abelian groups of finite rank ⋮ COUNTABLE BOREL EQUIVALENCE RELATIONS ⋮ Means on equivalence relations ⋮ On the complexity of the classification problem for torsion-free abelian groups of rank two. ⋮ Unicorn paths and hyperfiniteness for the mapping class group

Cites Work

• Descriptive set theory
• Amenability, Kazhdan's property and percolation for trees, groups and equivalence relations
• Hyperfinite factors and amenable ergodic actions
• Measurable dynamics
• Ergodic theory of amenable group actions. I: The Rohlin lemma