AF-equivalence relations and their cocycles
Renault, Jean
HAL, hal-00122602 / Harvested from HAL
Text on HAL
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.
Publié le : 2001-07-02
Classification:  [MATH.MATH-OA]Mathematics [math]/Operator Algebras [math.OA],  [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS] 
@article{hal-00122602,
     author = {Renault, Jean},
     title = {AF-equivalence relations and their cocycles},
     journal = {HAL},
     volume = {2001},
     number = {0},
     year = {2001},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00122602}
}

Renault, Jean. AF-equivalence relations and their cocycles. HAL, Tome 2001 (2001) no. 0, . http://gdmltest.u-ga.fr/item/hal-00122602/