Rigidity and cocycles for ergodic actions of semi-simple Lie groups

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1. [1] A. Borel - Density properties for certain subgroups of semi-simple groups without compact factors, Annals of Math., 72(1960), 179-188. Zbl0094.24901MR123639
2. [2] A. Connes, J. Feldman, B. Weiss - to appear. 
3. [3] C. Delaroche et A. Kirillov - Sur les relations entre l'espace dual d'un groupe et la structure de ses sous-groupes fermés, Sém. Bourbaki, 1967/68, n° 343. Zbl0214.04602
4. [4] H.A. Dye - On groups of measure preserving transformations I , Amer. J. Math., 8(1959), 119-159. Zbl0087.11501MR131516
5. [5] E.G. Effros - Transformation groups and C*-algebras, Annals of Math., 81(1965), 38-55. Zbl0152.33203MR174987
6. [6] H. Furstenberg - A Poisson formula for semi-simple Lie groups, Annals of Math., 77(1963), 335-386. Zbl0192.12704MR146298
7. [7] H. Furstenberg - Boundary theory and stochastic processes on homogeneous spaces, in Harmonic Analysis on Homogeneous Spaces, Symposia in Pure Math., A.M.S. Williamstown (1973). Zbl0289.22011MR352328
8. [8] D. Kazhdan - Connection of the dual space of a group with the structure of its closed subgroups, Funkcional nyj Analiz, vol. 1, n° 1(1967), 71-74. Zbl0168.27602MR209390
9. [9] J.F.C. Kingman - Subadditive ergodic theory, Annals of Probability, 1, 883-909. Zbl0311.60018MR356192
10. [10] G.A. Margulis - Discrete groups of motions of manifolds of non-positive curvature, A.M.S. Translations, 109(1977), 33-45. Zbl0367.57012
11. [11] C.C. Moore - Compactifications of symmetric spaces, Amer. J. Math., 86(1964), 201-218. Zbl0156.03202MR161942
12. [12] C.C. Moore - Ergodicity of flows on homogeneous spaces, Amer. J. Math., 88(1966), 154-178. Zbl0148.37902MR193188
13. [13] J.B. Pesin - Characteristic Lyapunov exponents and smooth ergodic theory, Russian Math. Surveys, 32(4)1977, 55-112. Zbl0359.58010MR466791
14. [14] M.S. Raghunathan - Discrete subgroups of Lie groups, Russian translation with appendix by G.A. Margulis, Moscow1977. MR507236
15. [15] J. Tits - Travaux de Margulis sur les sous-groupes discrets des groupes de Lie, Séminaire Bourbaki1975/76, n° 482. Zbl0346.22011
16. [16] R. Zimmer - Strong rigidity for ergodic actions of semi-simple Lie groups, to appear in Annals of Math.. Zbl0468.22011

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