@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},
year = {1981},
publisher = {Sijthoff et Noordhoff International Publishers},
volume = {43},
number = {1},
mrnumber = {631427},
zbl = {0491.58020},
language = {en},
url = {https://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 - https://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. https://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. | Zbl | MR
[2] : Représentations induites holomorphes des groups résolubles algébriques. Bull. Soc. Math. France, 94 (1966), 181-206. | Zbl | MR | Numdam
[3] : Transformation groups and C*-algebras. Annals of Math. 81 (1965), 38-55. | Zbl | MR
[4] and : Ergodic equivalence relations, cohomology, and von Neumann algebras, I. Trans. Amer. Math. Soc., 234 (1977), 289-324. | Zbl | MR
[5] : The structure of distal flows. Amer. J. Math., 85 (1963), 477-515. | Zbl | MR
[6] : Croissance polynomiale et périodes des fonctions harmoniques. Bull. Soc. Math. France, 101 (1973), 333-379. | Zbl | MR | Numdam
[7] : Ergodic theory and virtual groups. Math. Ann., 166 (1966), 187-207. | Zbl | MR
[8] : Distal affine transformation groups. Amer. J. Math., 90 (1968), 733-751. | Zbl | MR
[9] : Amenable subgroups of semisimple groups and proximal flows. Israel J. Math., 34 (1979) 121-138. | Zbl | MR
[10] and : Groups admitting ergodic actions with generalized discrete spectrum. Inv. Math., 51 (1979), 171-188. | Zbl | MR
[11] : A multiplicative ergodic theorem. Ljapunov characteristic numbers for dynamical systems. Trans. Moscow Math. Soc., 19 (1968), 197-231. | Zbl | MR
[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. | Zbl | MR
[15] : Tangentially distal flows, (Preprint). | Zbl
[16] : Cocycles on ergodic transformation groups. Macmillain Lectures in Math., no. 1, Macmillan Co. of India, Delhi, 1977. | Zbl | MR
[17] : Extensions of ergodic group actions. Illinois J. Math., 20 (1976), 373-409. | Zbl | MR
[18] : Ergodic actions with generalized discrete spectrum. Illinois J. Math., 20 (1976), 555-588. | Zbl | MR
[19] : Amenable ergodic group actions and an application to Poisson boundaries of random walks. J. Funct. Anal., 27 (1978), 350-372. | Zbl | MR
[20] : Induced and amenable ergodic actions of Lie groups. Ann. Scient. Ec. Norm. Sup., 11 (1978), 407-428. | Numdam | Zbl | MR | EuDML






