Gromov's measure equivalence and rigidity of higher rank lattices.
Furman, Alex (1999)
Annals of Mathematics. Second Series
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Furman, Alex (1999)
Annals of Mathematics. Second Series
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Harry Furstenberg (1979-1980)
Séminaire Bourbaki
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Hasfura-Buenaga, J.R. (1995)
Acta Mathematica Universitatis Comenianae. New Series
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Hawkins, Jane, Silva Cesar, E. (1998)
The New York Journal of Mathematics [electronic only]
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Stefaan Vaes (2005-2006)
Séminaire Bourbaki
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Using very original methods from operator algebras, Sorin Popa has shown that the orbit structure of the Bernoulli action of a property (T) group, completely remembers the group and the action. This information is even essentially contained in the crossed product von Neumann algebra. This is the first von Neumann strong rigidity theorem in the literature. The same methods allow Popa to obtain II factors with prescribed countable fundamental group.
Alexandre I. Danilenko, Cesar E. Silva (2007)
Annales de l'I.H.P. Probabilités et statistiques
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Robert J. Zimmer (1978)
Annales scientifiques de l'École Normale Supérieure
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Robert J. Zimmer (1981)
Compositio Mathematica
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Anatole Katok, Ralph J. Spatzier (1994)
Publications Mathématiques de l'IHÉS
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