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Comptes Rendus Mathématique
Volume 337, n° 1
pages 7-12 (juillet 2003)
Doi : 10.1016/S1631-073X(03)00253-X
Received : 14 April 2003 ; 
Conditions simpliciales de rigidité pour les relations de type II1
Simplicial conditions for rigidity of type II1 equivalence relations

Mikaël  Pichot
UMPA, ENS-Lyon, UMR 5669 CNRS, 46, allée d'Italie, 69364 Lyon cedex 07, France 

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Nous donnons un critère géométrique pour qu'une relation d'équivalence (à classes dénombrables) préservant une mesure de probabilité ait la propriété (T) de Kazhdan, généralisant ainsi un résultat analogue de théorie géométrique des groupes. Pour citer cet article : M. Pichot, C. R. Acad. Sci. Paris, Ser. I 337 (2003).

Abstract

We give a geometric criterion for a probability measure preserving equivalence relation with countable classes to have Kazhdan's property (T). This generalizes a similar theorem in geometric group theory. To cite this article: M. Pichot, C. R. Acad. Sci. Paris, Ser. I 337 (2003).




© 2003  Académie des sciences@@#104156@@

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