The Radon-Nikodym problem for approximately proper equivalence relations

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.
Complete list of metadatas

https://hal.archives-ouvertes.fr/hal-00080802
Contributor : Direction Du Laboratoire Mapmo <>
Submitted on : Tuesday, June 20, 2006 - 3:52:35 PM
Last modification on : Thursday, May 3, 2018 - 3:32:06 PM

Links full text

Identifiers

Collections

Citation

Jean Renault. The Radon-Nikodym problem for approximately proper equivalence relations. Ergodic Theory and Dynamical Systems, Cambridge University Press (CUP), 2005, vol 25, pp.1643-1672. ⟨hal-00080802⟩

Share

Metrics

Record views

130