The Poincare Flow of a Foliation

DOI10.2307/2374172zbMath0434.28017OpenAlexW2326374440MaRDI QIDQ3872708

Caroline Series

Publication date: 1980

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

Full work available at URL: https://doi.org/10.2307/2374172

zbMATH Keywords

Gibbs measuremeasure of maximal entropyorbit equivalencemeasurable equivalence relationflow of weightsvirtual groupsmeasurable foliationcontinuous group actionsPoincare flowclassification of von Neumann algebrasRadon Nikodym cocycle

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Entropy and other invariants (28D20) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Classifications of (C^*)-algebras (46L35) Foliations in differential topology; geometric theory (57R30) One-parameter continuous families of measure-preserving transformations (28D10)

Related Items (11)

Invariant Radon measures for horocycle flows on Abelian covers ⋮ Trajectory theory ⋮ The horocycle flow and the Laplacian on hyperbolic surfaces of infinite genus ⋮ Invariant family of leaf measures and the Ledrappier–Young property for hyperbolic equilibrium states ⋮ Foliations of polynomial growth are hyperfinite ⋮ Diffeomorphisms of manifolds with nonsingular Poincaré flows ⋮ Propriétés ergodiques des mesures de Sinaï ⋮ Induced Group Actions, Representations and Fibered Skew Product Extensions ⋮ An example of an amenable action from geometry ⋮ Entropy of stationary measures and bounded tangential de Rham cohomology of semisimple Lie group actions ⋮ Groupoid dynamical systems and crossed product, I. The case of \(W^*\)- systems

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