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Communication Dans Un Congrès Année : 2003

AF equivalence relations and their cocycles

Résumé

After a review of some of the main results about hyperfinite equivalence relations and their cocycles in the measured setting, we give a definition of a topological AF-equivalence relation. We show that every cocycle is cohomologous to a quasi-product cocycle. We then study the problem of determining the quasi-invariant probability measures admitting a given cocycle as their Radon-Nikodym derivative.
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Dates et versions

hal-00080808 , version 1 (20-06-2006)

Identifiants

  • HAL Id : hal-00080808 , version 1

Citer

Jean Renault. AF equivalence relations and their cocycles. Proceedings Operator and Mathematical Physics Conference, 2003, Constanza, Romania. pp.365-377. ⟨hal-00080808⟩
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