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Communication Dans Un Congrès Année : 2001

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.

Dates et versions

hal-00122602 , version 1 (03-01-2007)

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Jean Renault. AF-equivalence relations and their cocycles. 4th International Conference on Operator Algebras, Jul 2001, Costanza, Romania. ⟨hal-00122602⟩
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