@article{PMIHES_1984__59__5_0, author = {Zimmer, Robert}, title = {Volume preserving actions of lattices in semisimple groups on compact manifolds}, journal = {Publications Math\'ematiques de l'IH\'ES}, pages = {5--33}, publisher = {Institut des Hautes \'Etudes Scientifiques}, volume = {59}, year = {1984}, mrnumber = {743815}, zbl = {0576.22013}, language = {en}, url = {http://www.numdam.org/item/PMIHES_1984__59__5_0/} }
TY - JOUR AU - Zimmer, Robert TI - Volume preserving actions of lattices in semisimple groups on compact manifolds JO - Publications Mathématiques de l'IHÉS PY - 1984 SP - 5 EP - 33 VL - 59 PB - Institut des Hautes Études Scientifiques UR - http://www.numdam.org/item/PMIHES_1984__59__5_0/ LA - en ID - PMIHES_1984__59__5_0 ER -
%0 Journal Article %A Zimmer, Robert %T Volume preserving actions of lattices in semisimple groups on compact manifolds %J Publications Mathématiques de l'IHÉS %D 1984 %P 5-33 %V 59 %I Institut des Hautes Études Scientifiques %U http://www.numdam.org/item/PMIHES_1984__59__5_0/ %G en %F PMIHES_1984__59__5_0
Zimmer, Robert. Volume preserving actions of lattices in semisimple groups on compact manifolds. Publications Mathématiques de l'IHÉS, Tome 59 (1984), pp. 5-33. http://www.numdam.org/item/PMIHES_1984__59__5_0/
[1] Sur les relations entre l'espace dual d'un groupe et la structure de ses sous-groupes fermés, Séminaire Bourbaki, No. 343 (1967/1968). | Numdam | Zbl
and ,[2] Sur le théorème ergodique sous-additif, C. R. Acad. Sci. 281, Paris (1975), Série A, 985-988. | MR | Zbl
,[3] Products of random matrices, Ann. Math. Stat. 31 (1960), 457-469. | MR | Zbl
and ,[4] Rigidity and cocycles for ergodic actions of semisimple groups [after G. A. Margulis and R. Zimmer], Séminaire Bourbaki, No. 559 (1979/1980). | Numdam | Zbl
,[5] Differential Geometry and Symmetric Spaces, New York, Academic Press, 1962. | MR | Zbl
,[6] Connection of the dual space of a group with the structure of its closed subgroups, Funct. Anal. Appl. 1 (1967), 63-65. | MR | Zbl
,[7] The ergodic theory of subadditive stochastic processes, J. Royal Stat. Soc. B30 (1968), 499-510. | MR | Zbl
,[8] Transformation groups in differential geometry, New York, Springer, 1972. | MR | Zbl
,[9] Discrete groups of motions of manifolds of non-positive curvature, A.M.S. Translations 109 (1977), 33-45. | Zbl
,[10] Topological Transformation Groups, New York, Interscience, 1955. | MR | Zbl
and ,[11] Strong rigidity of locally symmetric spaces, Annals of Math. Studies, No. 78 (1973). | MR | Zbl
,[12] Intersection of discrete subgroups with Cartan subgroups, J. Indian Math. Soc. 34 (1970), 203-214. | MR | Zbl
,[13] Seminar on the Atiyah-Singer Index Theorem, Annals of Math. Studies, No. 57. | MR | Zbl
,[14] Lyapunov characteristic exponents and smooth ergodic theory, Russian Math. Surveys 32 (1977), 55-114. | Zbl
,[15] Cartan subgroups and lattices in semisimple groups, Annals of Math. 96 (1972), 296-317. | MR | Zbl
and ,[16] On the congruence subgroup problem, Publ. Math. I.H.E.S. 46 (1976), 107-161. | Numdam | MR | Zbl
,[17] Amenability, Kazhdan's property T, strong ergodicity, and invariant means for group actions, Erg. Th. and Dyn. Sys. 1 (1981), 223-236. | MR | Zbl
,[18] On isolated points in the dual spaces of locally compact groups, Math. Ann. 218 (1975), 19-34. | MR | Zbl
,[19] On discrete subgroups of Lie groups, I, II, Annals of Math. 72 (1960), 369-384, and ibid., 75 (1962), 578-602. | Zbl
,[20] Compact Lie groups and their representations, Translations of Math. Monographs, vol. 40, A.M.S., Providence, R.I., 1973. | MR | Zbl
,[21] Extensions of ergodic group actions, Ill. J. Math. 20 (1976), 373-409. | MR | Zbl
,[22] Amenable pairs of ergodic actions and the associated von Neumann algebras, Trans. A.M.S. 243 (1978), 271-286. | MR | Zbl
,[23] Orbit spaces of unitary representations, ergodic theory, and simple Lie groups, Annals of Math. 106 (1977), 573-588. | MR | Zbl
,[24] An algebraic group associated to an ergodic diffeomorphism, Comp. Math. 43 (1981), 59-69. | Numdam | MR | Zbl
,[25] On the cohomology of ergodic actions of semisimple Lie groups and discrete subgroups, Amer. J. Math. 103 (1981), 937-950. | MR | Zbl
,[26] Strong rigidity for ergodic actions of semisimple Lie groups, Annals of Math. 112 (1980), 511-529. | MR | Zbl
,[27] Orbit equivalence and rigidity of ergodic actions of Lie groups, Erg. Th. and Dyn. Sys. 1 (1981), 237-253. | MR | Zbl
,[28] Ergodic theory, group representations, and rigidity, Bull. A.M.S. 6 (1982), 383-416. | MR | Zbl
,[29] Ergodic Theory and Semisimple Groups, forthcoming. | Zbl
,[30] Arithmetic groups acting on compact manifolds, Bull. A.M.S., to appear. | Zbl
,