@incollection{AST_1977__49__61_0, author = {Feldman, Jacob}, title = {Ergodic theory of continuous group actions}, booktitle = {Syst\`eme dynamique I - Varsovie}, author = {Collectif}, series = {Ast\'erisque}, publisher = {Soci\'et\'e math\'ematique de France}, number = {49}, year = {1977}, pages = {61-74}, zbl = {0377.28018}, mrnumber = {507544}, language = {en}, url = {http://www.numdam.org/item/AST_1977__49__61_0} }

Feldman, Jacob. Ergodic theory of continuous group actions, inSystème dynamique I - Varsovie, Astérisque, no. 49 (1977), pp. 61-74. http://www.numdam.org/item/AST_1977__49__61_0/

[1] Partitionings of a Lebesgue space into trajectories which may be defined by ergodic automorphisms" (Russian), Funkcional Anal, i Prilozen 2 (1968), 4-16. | MR 245756 | Zbl 0176.44701

, "[2] Measure space automorphisms, the normalizers of their full groups, and approximate finiteness" preprint, Heidelberg, 1975. | MR 444900 | Zbl 0369.28013

and , "[3] Entropie d'un groupe abelien de transformationes," Z. Wahr. und Verw. Gebeite 25 (1972), 11-30. | Article | MR 335754 | Zbl 0261.28015

, "[4] On groups of measure-preserving transformations, I", Amer. J. Math. 81 (1959), 119-159. | Article | MR 131516 | Zbl 0087.11501

, "[5] On groups of measure-preserving transformations, II", Amer. J. Math., 85 (1963), 551-576. | Article | MR 158048 | Zbl 0191.42803

, "[6] Orbit structure and countable sections for actions of continuous groups," preprint, Berkeley, 1977. | Article | MR 492061 | Zbl 0392.28023

, , and , "[7] Ergodic equivalence relations, cohomology, and von Neumann algebras I," to appear, Trans. Amer. Math. Soc. | MR 578656 | Zbl 0369.22009

, , "[8] Examples of Bernoulli $\mathbb{Z}$-skew compact group actions," in preparation.

, , "[9] Virtual subgroups of ${\mathbb{R}}^{n}$ and ${\mathbb{Z}}^{n}$, Adv. Math. 3 (1974), 187-207.

,[10] Commuting measure-preserving transformations," Israel J. Math. 12 (1972), 161-173. | Article | MR 316680 | Zbl 0239.28014

, , "[11] A generalized Shannon-MacMillan theorem for the action of an amenable group on a probability space," Ann. Prob. 3 (1975), 1031-1037. | Article | MR 393422 | Zbl 0322.60032

, "[12] On Rudolph's representation of aperiodic flows," Ann. Inst. Henri Poincare XII (1976), 319-338. | MR 435354 | Zbl 0356.28005

, "[13] On the entropy of groups of measure-preserving transformations", preprint. | Zbl 0204.07904

, "[14] Locally compact measure-preserving flows," Adv. in Math. 15 (1975), 175-193. | Article | MR 382595 | Zbl 0293.28012

, "[15] The isomorphism theorem for multidimensional Bernoulli flows," Israel J. Math.

, "[16] Ergodic Theory, Randomness, and Dynamical Systems, Yale U. Press, New Haven, 1974. | MR 447525 | Zbl 0296.28016

,[17] The Kakutani-Rokhlin Theorem for solvable groups," preprint, Stanford, 1977.

, , "[18] On the entropy equidistribution property of commutative groups of ergodic automorphisms," Soviet Math. Dokl. 12 (1971), 938-942. | Zbl 0232.28017

, , "[19] An isomorphism theorem for Bernoulli free $Z$-skew-compact group actions," preprint, Berkeley 1977. | MR 695042 | Zbl 0547.28013

, "[20] The Rokhlin Theorem and hyperfiniteness for actions of continuous groups," preprint, Berkeley, 1977. | MR 508256 | Zbl 0398.22013

, "[21] A theorem on the lacunary isomorphisms of monotonic sequences of partitionings" (Russian), Funkcional. Anal, i Prilozen 2 (1968), 17-21. | MR 241604 | Zbl 0186.20203

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