The Radon-Nikodym problem for approximately proper equivalence relations

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.

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Field Value
Source ISSN: 0143-3857
Author Renault, Jean
Maintainer CCSD
Last Updated May 11, 2026, 16:41 (UTC)
Created May 11, 2026, 16:41 (UTC)
Identifier hal-00080802
Language en
contributor Mathématiques - Analyse, Probabilités, Modélisation - Orléans (MAPMO) ; Université d'Orléans (UO)-Centre National de la Recherche Scientifique (CNRS)
creator Renault, Jean
date 2005-05-11T00:00:00
harvest_object_id 93344710-6db5-41e4-aa0d-e5a51e907cef
harvest_source_id 3374d638-d20b-4672-ba96-a23232d55657
harvest_source_title test moissonnage SELUNE
metadata_modified 2024-07-16T00:00:00
relation info:eu-repo/semantics/altIdentifier/arxiv/math.OA/0211369
set_spec type:ART