@article{CM_1981__43_1_59_0, author = {Zimmer, Robert J.}, title = {An algebraic group associated to an ergodic diffeomorphism}, journal = {Compositio Mathematica}, pages = {59--69}, publisher = {Sijthoff et Noordhoff International Publishers}, volume = {43}, number = {1}, year = {1981}, mrnumber = {631427}, zbl = {0491.58020}, language = {en}, url = {http://www.numdam.org/item/CM_1981__43_1_59_0/} }
TY - JOUR AU - Zimmer, Robert J. TI - An algebraic group associated to an ergodic diffeomorphism JO - Compositio Mathematica PY - 1981 SP - 59 EP - 69 VL - 43 IS - 1 PB - Sijthoff et Noordhoff International Publishers UR - http://www.numdam.org/item/CM_1981__43_1_59_0/ LA - en ID - CM_1981__43_1_59_0 ER -
Zimmer, Robert J. An algebraic group associated to an ergodic diffeomorphism. Compositio Mathematica, Tome 43 (1981) no. 1, pp. 59-69. http://www.numdam.org/item/CM_1981__43_1_59_0/
[1] Density properties for certain subgroups of semisimple Lie groups without compact factors. Annals of Math., 72 (1960), 179-188. | MR | Zbl
:[2] Représentations induites holomorphes des groups résolubles algébriques. Bull. Soc. Math. France, 94 (1966), 181-206. | Numdam | MR | Zbl
:[3] Transformation groups and C*-algebras. Annals of Math. 81 (1965), 38-55. | MR | Zbl
:[4] Ergodic equivalence relations, cohomology, and von Neumann algebras, I. Trans. Amer. Math. Soc., 234 (1977), 289-324. | MR | Zbl
and :[5] The structure of distal flows. Amer. J. Math., 85 (1963), 477-515. | MR | Zbl
:[6] Croissance polynomiale et périodes des fonctions harmoniques. Bull. Soc. Math. France, 101 (1973), 333-379. | Numdam | MR | Zbl
:[7] Ergodic theory and virtual groups. Math. Ann., 166 (1966), 187-207. | MR | Zbl
:[8] Distal affine transformation groups. Amer. J. Math., 90 (1968), 733-751. | MR | Zbl
:[9] Amenable subgroups of semisimple groups and proximal flows. Israel J. Math., 34 (1979) 121-138. | MR | Zbl
:[10] Groups admitting ergodic actions with generalized discrete spectrum. Inv. Math., 51 (1979), 171-188. | MR | Zbl
and :[11] A multiplicative ergodic theorem. Ljapunov characteristic numbers for dynamical systems. Trans. Moscow Math. Soc., 19 (1968), 197-231. | MR | Zbl
:[12] Characteristic Lyapunov exponents and smooth ergodic theory. Russian Math. Surveys, 32 (1977), 55-114. | Zbl
:[13] A proof of Oseledec's multiplicative ergodic theorem. Israel J. Math., 32 (1979) 356-362. | Zbl
:[14] Virtual groups and group actions. Advances in Math., 6 (1971), 253-322. | MR | Zbl
:[15] Tangentially distal flows, (Preprint). | Zbl
:[16] Cocycles on ergodic transformation groups. Macmillain Lectures in Math., no. 1, Macmillan Co. of India, Delhi, 1977. | MR | Zbl
:[17] Extensions of ergodic group actions. Illinois J. Math., 20 (1976), 373-409. | MR | Zbl
:[18] Ergodic actions with generalized discrete spectrum. Illinois J. Math., 20 (1976), 555-588. | MR | Zbl
:[19] Amenable ergodic group actions and an application to Poisson boundaries of random walks. J. Funct. Anal., 27 (1978), 350-372. | MR | Zbl
:[20] Induced and amenable ergodic actions of Lie groups. Ann. Scient. Ec. Norm. Sup., 11 (1978), 407-428. | EuDML | Numdam | MR | Zbl
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