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  • Cited by 2
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    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Yi, Inhyeop 2013. -Algebras from Groupoids on Self-Similar Groups. Abstract and Applied Analysis, Vol. 2013, p. 1.


    Alcalde Cuesta, Fernando and Rechtman, Ana 2012. Averaging sequences. Pacific Journal of Mathematics, Vol. 255, Issue. 1, p. 1.


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  • Ergodic Theory and Dynamical Systems, Volume 25, Issue 5
  • October 2005, pp. 1643-1672

The Radon–Nikodym problem for approximately proper equivalence relations

  • JEAN RENAULT (a1)
  • DOI: http://dx.doi.org/10.1017/S0143385705000131
  • Published online: 01 August 2005
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 approximately finite-dimensional (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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Ergodic Theory and Dynamical Systems
  • ISSN: 0143-3857
  • EISSN: 1469-4417
  • URL: /core/journals/ergodic-theory-and-dynamical-systems
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