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.

37 pages

Cited by in corpus (1)

• KMS states on C*-algebras associated to expansive maps