Anosov foliations are hyperfinite
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Publication:1244922
DOI10.2307/1971066zbMath0374.58008OpenAlexW2323289113MaRDI QIDQ1244922
Publication date: 1977
Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/1971066
Foliations in differential topology; geometric theory (57R30) Dynamical systems with hyperbolic behavior (37D99)
Related Items (17)
Invariant Radon measures for horocycle flows on Abelian covers ⋮ Pseudo-Anosov foliations on periodic surfaces ⋮ Trajectory theory ⋮ Sur l'invariance topologique de la classe de Godbillon-Vey. (On the topological invariance of the Godbillon-Vey class.) ⋮ \(C^*\)-algebras associated with endomorphisms and polymorphisms of compact abelian groups ⋮ Amenability of groupoids and asymptotic invariance of convolution powers ⋮ Foliations of polynomial growth are hyperfinite ⋮ Markov maps associated with Fuchsian groups ⋮ Operator algebra of foliations with projectively invariant transverse measure ⋮ Tout feuilletage à croissance polynomiale est hyperfini ⋮ The ratio set of the harmonic measure of a random walk on a hyperbolic group ⋮ Orbit structure and countable sections for actions of continuous groups ⋮ Integral representation of measures associated with a foliation ⋮ An example of an amenable action from geometry ⋮ Some applications of thermodynamic formalism to manifolds with constant negative curvature ⋮ An amenable equivalence relation is generated by a single transformation ⋮ Amenability and the Liouville property
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