Smooth classification of Cartan actions of higher rank semisimple Lie groups and their lattices.
Goetze, Edward R., Spatzier, Ralf J. (1999)
Annals of Mathematics. Second Series
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Displaying similar documents to “First cohomology of Anosov actions of higher rank abelian groups and applications to rigidity”
Smooth classification of Cartan actions of higher rank semisimple Lie groups and their lattices.
Orbit equivalence rigidity.
Furman, Alex (1999)
Annals of Mathematics. Second Series
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Topological superrigidity and Anosov actions of lattices
R. Feres, F. Labourie (1998)
Annales scientifiques de l'École Normale Supérieure
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Corrections to the paper "A remark on the orbit spaces under multiplicative group actions''
Jerzy Jurkiewicz (1989)
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On SL(2)-actions without 3-dimensional orbits
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Colloquium Mathematicae
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An introduction to spherical orbit spaces.
McGowan, Jill, Searle, Catherine (2002)
International Journal of Mathematics and Mathematical Sciences
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Mixing for dyadic equivalence.
Hasfura-Buenaga, J.R. (1995)
Acta Mathematica Universitatis Comenianae. New Series
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On the semisimple degree of symmetry
Dan Burghelea, Reinhard Schultz (1975)
Bulletin de la Société Mathématique de France
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Rigidity results for Bernoulli actions and their von Neumann algebras
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.
Rigidity and cocycles for ergodic actions of semi-simple Lie groups
Harry Furstenberg (1979-1980)
Séminaire Bourbaki
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