An algebraic group associated to an ergodic diffeomorphism
Robert J. Zimmer (1981)
Compositio Mathematica
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Robert J. Zimmer (1981)
Compositio Mathematica
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Robert J. Zimmer (1978)
Annales scientifiques de l'École Normale Supérieure
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S. G. Dani, M. Keane (1979)
Annales de l'I.H.P. Probabilités et statistiques
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Harry Furstenberg (1979-1980)
Séminaire Bourbaki
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Hawkins, Jane, Silva Cesar, E. (1998)
The New York Journal of Mathematics [electronic only]
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Alexandre Danilenko, Toshihiro Hamachi (2000)
Colloquium Mathematicae
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The orbit equivalence of type ergodic equivalence relations is considered. We show that it is equivalent to the outer conjugacy problem for the natural trace-scaling action of a countable dense ℝ-subgroup by automorphisms of the Radon-Nikodym skew product extensions of these relations. A similar result holds for the weak equivalence of arbitrary type cocycles with values in Abelian groups.
Robert J. Zimmer (1982)
Publications Mathématiques de l'IHÉS
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Raja, C.Robinson Edward (2009)
The New York Journal of Mathematics [electronic only]
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