The Radon-Nikodym problem for approximately proper equivalence relations
Operator Algebras
2007-05-23 v1 Dynamical Systems
Abstract
We study the Radon-Nikodym problem for approximately proper equivalence relations and more specifically the uniqueness of certain Gibbs states. One of our tools is a variant of the dimension group introduced in the study of AF algebras. As applications, we retrieve sufficient conditions for the uniqueness of traces on AF algebras and parts of the Perron-Frobenius-Ruelle theorem.
Cite
@article{arxiv.math/0211369,
title = {The Radon-Nikodym problem for approximately proper equivalence relations},
author = {Jean Renault},
journal= {arXiv preprint arXiv:math/0211369},
year = {2007}
}
Comments
37 pages