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References
Borel, A., Harder, G.: Existence of discrete cocompact subgroups of reductive groups over local fields. J. für Math.298, 53–64 (1978)
Delaroche, C., Kirillov, A.: Sur les relations entre l'espace dual d'un groupe et la structure de ses sous-groupes fermés, Seminaire Bourbaki, No.343, 1967/68
Howe, R., Moore, C.C.: Asymptotic properties of unitary representations. J. Funct. Anal.32, 72–96 (1979)
Ihara, Y.: On discrete subgroups of the two by two projective linear group overp-adic fields. J. Math. Soc. Japan18, 219–235 (1966)
Kazhdan, D.: Connection of the dual space of a group with the structure of its closed subgroups. Funct. Anal. Appl.1, 63–65 (1967)
Kostant, B.: On the existence and irreducibility of certain series of representations. Bull. Amer. Math. Soc.75, 627–642 (1969)
Margulis, G.A.: Discrete groups of motions of manifolds of non-positive curvature. Amer. Math. Soc. Translations109, 33–45 (1977)
Margulis, G.A.: Some remarks on invariant means. Monat. Math.90, 233–235 (1980)
Moore, C.C.: The Mautner phenomenon for general unitary representations. Pac. J. Math.86, 155–169 (1980)
Rosenblatt, J.: Uniqueness of invariant means for measure-preserving transformations. Trans. Amer. Math. Soc.265, 623–636 (1981)
Schmidt, K.: Amenability, Kazhdan's propertyT, strong ergodicity, and invariant means for ergodic group actions. Ergod. Th. Dyn. Syst.1, 223–236 (1981)
Singer, I., Sternberg, S.: The infinite groups of Lie and Cartan. J. d'Anal. Math.15, 1–114 (1965)
Sullivan, D.: Forn≧3 there is only one finitely-additive rotationally invariant measure on then-sphere defined on all Lebesgue measurable sets. Bull. Amer. Math. Soc.4, 121–123 (1981)
Vinberg, E.B.: Rings of definition of dense subgroups of semisimple linear groups. Math. USSR IZV.5, 45–55 (1971)
Wang, S.P.: On the Mautner phenomenon and groups with propertyT. Amer. J. Math.104, 1191–1210 (1982)
Zimmer, R.J.: Uniform subgroups and ergodic actions of exponential Lie groups. Pac. J. Math.78, 267–272 (1978)
Zimmer, R.J.: On the cohomology of ergodic actions of semisimple Lie groups and discrete subgroups. Amer. J. Math.103, 937–950 (1981)
Zimmer, R.J.: An algebraic group defined by an ergodic diffeomorphism. Comp. Math.43, 59–69 (1981)
Zimmer, R.J.: Strong rigidity for ergodic actions of semisimple Lie groups. Annals of Math.112, 511–529 (1980)
Zimmer, R.J.: Ergodic Theory and Semisimple Groups, to appear
Zimmer, R.J.: Volume preserving actions of lattices in semisimple groups on compact manifolds. Publ. Math. I.H.E.S., to appear
Zimmer, R.J.: Semisimple automorphism groups ofG-structures. J. Diff. Geom. (in press)
Zimmer, R.J.: Actions of lattices in semisimple groups preserving aG-structure of finite type. Preprint
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Research partially supported by NSF Grant MCS 8004026
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Zimmer, R.J. Kazhdan groups acting on compact manifolds. Invent Math 75, 425–436 (1984). https://doi.org/10.1007/BF01388637
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DOI: https://doi.org/10.1007/BF01388637