An algebraic group associated to an ergodic diffeomorphism
Compositio Mathematica, Volume 43 (1981) no. 1, pp. 59-69.
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     title = {An algebraic group associated to an ergodic diffeomorphism},
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     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/}
}
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Zimmer, Robert J. An algebraic group associated to an ergodic diffeomorphism. Compositio Mathematica, Volume 43 (1981) no. 1, pp. 59-69. http://www.numdam.org/item/CM_1981__43_1_59_0/

[1] A. Borel: Density properties for certain subgroups of semisimple Lie groups without compact factors. Annals of Math., 72 (1960), 179-188. | MR | Zbl

[2] J. Dixmier: Représentations induites holomorphes des groups résolubles algébriques. Bull. Soc. Math. France, 94 (1966), 181-206. | Numdam | MR | Zbl

[3] E.G. Effros: Transformation groups and C*-algebras. Annals of Math. 81 (1965), 38-55. | MR | Zbl

[4] J. Feldman and C.C. Moore: Ergodic equivalence relations, cohomology, and von Neumann algebras, I. Trans. Amer. Math. Soc., 234 (1977), 289-324. | MR | Zbl

[5] H. Furstenberg: The structure of distal flows. Amer. J. Math., 85 (1963), 477-515. | MR | Zbl

[6] Y. Guivarch: Croissance polynomiale et périodes des fonctions harmoniques. Bull. Soc. Math. France, 101 (1973), 333-379. | Numdam | MR | Zbl

[7] G.W. Mackey: Ergodic theory and virtual groups. Math. Ann., 166 (1966), 187-207. | MR | Zbl

[8] C.C. Moore: Distal affine transformation groups. Amer. J. Math., 90 (1968), 733-751. | MR | Zbl

[9] C.C. Moore: Amenable subgroups of semisimple groups and proximal flows. Israel J. Math., 34 (1979) 121-138. | MR | Zbl

[10] C.C. Moore and R.J. Zimmer: Groups admitting ergodic actions with generalized discrete spectrum. Inv. Math., 51 (1979), 171-188. | MR | Zbl

[11] V.I. Oseledec: A multiplicative ergodic theorem. Ljapunov characteristic numbers for dynamical systems. Trans. Moscow Math. Soc., 19 (1968), 197-231. | MR | Zbl

[12] Ya B. Pesin: Characteristic Lyapunov exponents and smooth ergodic theory. Russian Math. Surveys, 32 (1977), 55-114. | Zbl

[13] M.S. Ragunathan: A proof of Oseledec's multiplicative ergodic theorem. Israel J. Math., 32 (1979) 356-362. | Zbl

[14] A. Ramsay: Virtual groups and group actions. Advances in Math., 6 (1971), 253-322. | MR | Zbl

[15] M. Rees: Tangentially distal flows, (Preprint). | Zbl

[16] K. Schmidt: Cocycles on ergodic transformation groups. Macmillain Lectures in Math., no. 1, Macmillan Co. of India, Delhi, 1977. | MR | Zbl

[17] R.J. Zimmer: Extensions of ergodic group actions. Illinois J. Math., 20 (1976), 373-409. | MR | Zbl

[18] R.J. Zimmer: Ergodic actions with generalized discrete spectrum. Illinois J. Math., 20 (1976), 555-588. | MR | Zbl

[19] R.J. Zimmer: Amenable ergodic group actions and an application to Poisson boundaries of random walks. J. Funct. Anal., 27 (1978), 350-372. | MR | Zbl

[20] R.J. Zimmer: Induced and amenable ergodic actions of Lie groups. Ann. Scient. Ec. Norm. Sup., 11 (1978), 407-428. | EuDML | Numdam | MR | Zbl