AF-equivalence relations and their cocycles
算子代数
2007-05-23 v1 动力系统
摘要
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.
引用
@article{arxiv.math/0111182,
title = {AF-equivalence relations and their cocycles},
author = {Jean Renault},
journal= {arXiv preprint arXiv:math/0111182},
year = {2007}
}
备注
15 pages, talk at 4th International Conference on Operator Algebras, July 2-7 2001, Constanza, Romania