An analogue of the Mostow-Margulis rigidity theorems for ergodic actions of semisimple Lie groups
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- by Robert J. Zimmer PDF
- Bull. Amer. Math. Soc. 2 (1980), 168-170
References
- A. Connes, J. Feldman, and B. Weiss, An amenable equivalence relation is generated by a single transformation, Ergodic Theory Dynam. Systems 1 (1981), no. 4, 431–450 (1982). MR 662736, DOI 10.1017/s014338570000136x
- H. A. Dye, On groups of measure preserving transformations. I, Amer. J. Math. 81 (1959), 119–159. MR 131516, DOI 10.2307/2372852
- George W. Mackey, Ergodic theory and virtual groups, Math. Ann. 166 (1966), 187–207. MR 201562, DOI 10.1007/BF01361167 4. G. A. Margulis, Non-uniform lattices in semisimple algebraic groups, Lie Groups and Their Representations, (ed. I. M. Gelfand), Wiley, New York.
- G. A. Margulis, Discrete groups of motions of manifolds of nonpositive curvature, Proceedings of the International Congress of Mathematicians (Vancouver, B.C., 1974) Canad. Math. Congress, Montreal, Que., 1975, pp. 21–34 (Russian). MR 0492072
- G. D. Mostow, Strong rigidity of locally symmetric spaces, Annals of Mathematics Studies, No. 78, Princeton University Press, Princeton, N.J.; University of Tokyo Press, Tokyo, 1973. MR 0385004 7. D. Ornstein and B. Weiss (to appear).
- Robert J. Zimmer, Amenable ergodic group actions and an application to Poisson boundaries of random walks, J. Functional Analysis 27 (1978), no. 3, 350–372. MR 0473096, DOI 10.1016/0022-1236(78)90013-7
- Robert J. Zimmer, Induced and amenable ergodic actions of Lie groups, Ann. Sci. École Norm. Sup. (4) 11 (1978), no. 3, 407–428. MR 521638, DOI 10.24033/asens.1351 10. R. J. Zimmer, Algebraic topology of ergodic Lie group actions and measurable foliations (preprint).
Additional Information
- 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