Kazhdan Groups, Cocycles and Trees

DOI10.2307/2374716zbMath0712.22007OpenAlexW2315580516MaRDI QIDQ3497286

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Publication date: 1990

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

Full work available at URL: https://doi.org/10.2307/2374716

zbMATH Keywords

deformation spacesemisimple Lie groupgroups acting on treesergodic theoryKazhdan groupscocycles of actions

Mathematics Subject Classification ID

Ergodic theory on groups (22D40) General groups of measure-preserving transformations (28D15) Homology and cohomology of Lie groups (57T10) Groups acting on trees (20E08)

Related Items (16)

Reduction of cocycles with hyperbolic targets ⋮ COUNTABLE BOREL EQUIVALENCE RELATIONS ⋮ Equivalence of generics ⋮ Minimal spanning forests ⋮ Rotation equivalence and cocycle superrigidity ⋮ Amenability, Kazhdan's property and percolation for trees, groups and equivalence relations ⋮ Examples of amalgamated free products and coupling rigidity ⋮ On the Complexity of the Classification Problem for Torsion-Free Abelian Groups of Finite Rank ⋮ Borel equivalence relations and classifications of countable models ⋮ On the complexity of the classification problem for torsion-free abelian groups of rank two. ⋮ Free products, orbit equivalence and measure equivalence rigidity ⋮ The geometric dimension of an equivalence relation and finite extensions of countable groups ⋮ The Haagerup Property for Discrete Measured Groupoids ⋮ Nonamenable products are not treeable ⋮ Subequivalence relations and positive-definite functions ⋮ Representations of Fundamental Groups of Manifolds with a Semisimple Transformation Group

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