Foliations of polynomial growth are hyperfinite

DOI10.1007/BF02760886zbMath0436.28015MaRDI QIDQ1140732

Caroline Series

Publication date: 1979

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

zbMATH Keywords

amenable groupfinite invariant meausresfoliations of polynomial growthhyperfinite equivalence relations

Mathematics Subject Classification ID

General groups of measure-preserving transformations (28D15)

Related Items (6)

Foliations with leaves of nonpositive curvature ⋮ Harmonic means ⋮ Branching number of a pseudogroup ⋮ Affability of Euclidean tilings ⋮ Ergodic theory, semisimple Lie groups, and foliations by manifolds of negative curvature ⋮ Amenability and the spectrum of the Laplacian

Cites Work

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• Foliations with measure preserving holonomy
• On the homology of attractors
• Anosov foliations are hyperfinite
• The Rohlin tower theorem and hyperfiniteness for actions of continuous groups
• Growth of connected locally compact groups
• On Groups of Measure Preserving Transformations. I
• The Poincare Flow of a Foliation
• Ergodic Equivalence Relations, Cohomology, and Von Neumann Algebras. I
• Erratum to "On Entropy and Generators of Measure-Preserving Transformations"

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