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Fédération Denis Poisson |  |
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Fédération Denis Poisson | |
| HAL: hal-00080802, version 1 |
| arXiv: math.OA/0211369 |
| Detailed view |  Export this paper |
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| Ergodic Theory and Dynamical Systems vol 25 (2005) 1643-1672 |
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| The Radon-Nikodym problem for approximately proper equivalence relations |
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| Jean Renault 1 |
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| (2005) |
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| 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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| 1: | Mathématiques - Analyse, Probabilités, Modélisation - Orléans (MAPMO) |
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Université d'Orléans – CNRS : UMR7349 |
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| Subject | : | Mathematics/Operator Algebras Mathematics/Dynamical Systems |
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| Equivalence relations – Perron-Frobenius theorem – cocycles – Radon-Nikodym derivative – dimension groups |
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| Fulltext link: |
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| http://fr.arXiv.org/abs/math.OA/0211369 |
| hal-00080802, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00080802 | |
| oai:hal.archives-ouvertes.fr:hal-00080802 | |
| From: Direction Du Laboratoire Mapmo | |
| Submitted on: Tuesday, 20 June 2006 15:52:35 | |
| Updated on: Tuesday, 20 June 2006 15:52:35 | |
