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An analogue of the Mostow-Margulis rigidity theorems for ergodic actions of semisimple Lie groups


Author: Robert J. Zimmer
Journal: Bull. Amer. Math. Soc. 2 (1980), 168-170
MSC (1970): Primary 22D40, 22E40, 28A65, 57D30; Secondary 46L10
DOI: https://doi.org/10.1090/S0273-0979-1980-14706-0
MathSciNet review: 551755
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  • 1. A. Connes, J. Feldman and B. Weiss (to appear). MR 662736
  • 2. H. A. Dye, On groups of measure preserving transformations. I, Amer. J. Math. 8 (1959), 119-159. MR 131516
  • 3. G. W. Mackey, Ergodic theory and virtual groups, Math. Ann. 166 (1966), 187-207. MR 201562
  • 4. G. A. Margulis, Non-uniform lattices in semisimple algebraic groups, Lie Groups and Their Representations, (ed. I. M. Gelfand), Wiley, New York.
  • 5. G. A. Margulis, Discrete groups of motions of manifolds of nonpositive curvature, Amer. Math. Soc. Trans., vol. 109, 1977, pp. 33-45. MR 492072
  • 6. G. D. Mostow, Strong rigidity of locally symmetric spaces, Ann. of Math. Studies, no. 78, Princeton Univ. Press, Princeton, N. J., 1973. MR 385004
  • 7. D. Ornstein and B. Weiss (to appear).
  • 8. R. J. Zimmer, Amenable ergodic group actions and an application to Poisson boundaries of random walks, J. Functional Anal. 27 (1978), 350-372. MR 473096
  • 9. R. J. Zimmer, Induced and amenable ergodic actions of Lie groups, Ann. Sci. École. Norm. Sup. 11 (1978), 407-428. MR 521638
  • 10. R. J. Zimmer, Algebraic topology of ergodic Lie group actions and measurable foliations (preprint).

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DOI: https://doi.org/10.1090/S0273-0979-1980-14706-0

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