Remote Access Bulletin of the American Mathematical Society

Bulletin of the American Mathematical Society

ISSN 1088-9485(online) ISSN 0273-0979(print)



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
MathSciNet review: 551755
Full-text PDF

References | Similar Articles | Additional Information

References [Enhancements On Off] (What's this?)

  • 1. A. Connes, J. Feldman, and B. Weiss, An amenable equivalence relation is generated by a single transformation, Ergodic Theory Dynamical Systems 1 (1981), no. 4, 431–450 (1982). 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. 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
  • 10. R. J. Zimmer, Algebraic topology of ergodic Lie group actions and measurable foliations (preprint).

Similar Articles

Retrieve articles in Bulletin of the American Mathematical Society with MSC (1970): 22D40, 22E40, 28A65, 57D30, 46L10

Retrieve articles in all journals with MSC (1970): 22D40, 22E40, 28A65, 57D30, 46L10

Additional Information


American Mathematical Society