Cohomology groups, multipliers and factors in ergodic theory

Mariusz Lemańczyk

Type: Article

Publication Date: 1997-01-01

Citations: 4

DOI: https://doi.org/10.4064/sm-122-3-275-288

Abstract

The problem of compact factors in ergodic theory and its relationship with the problem of extending a cocycle to a cocycle of a larger action are studied.

Locations

Studia Mathematica - View - PDF

Similar Works

Action	Title	Year	Authors
+	A note On cocycles in ergodic theory	1972	William Parry
+	Cocycles, cohomology and combinatorial constructions in ergodic theory	2001	Anatole Katok
+	Cocycles and the structure of ergodic group actions	1977	Robert J. Zimmer
+	Compactness Conditions on Cocycles of Ergodic Transformation Groups	1977	Robert J. Zimmer
+	Combinatorial Constructions in Ergodic Theory and Dynamics	2003	Anatole Katok
+	Continuity properties of factor maps in ergodic theory	1981	Bruce Kitchens
+ PDF Chat	Lie groups and ergodic theory	1991	G. A. Margulis
+	Lie groups and ergodic theory	1988	G. A. Margulis
+	Quasi-factors in ergodic theory	1983	Shmuel Glasner
+	Classification of cocycles over ergodic automorphisms with values in the Lorentz group and recurrence of cocycles	2013	M. E. Lipatov
+	Classification of cocycles over ergodic automorphisms with values in the Lorentz group and recurrence of cocycles	2013	Липатов Максим Евгеньевич
+ PDF Chat	ERGODIC THEORY, GROUP THEORY AND DIFFERENTIAL GEOMETRY	1963	George W. Mackey
+	Ergodicity of Rokhlin cocycles	2001	Mariusz Lemańczyk Emmanuel Lesigne
+	To the question about classification of linear cocycles over ergodic automorphisms	2013	Липатов Максим Евгеньевич
+	Ergodic Theory: Basic Examples and Constructions	2011	Matthew Nicol Karl Petersen
+	Ergodic Theory: Basic Examples and Constructions	2011
+	Ergodic Theory: Basic Examples and Constructions	2009	Matthew Nicol Karl Petersen
+	Ergodic Theory: Basic Examples and Constructions	2023	Matthew Nicol Karl Petersen
+	Ergodic Theory: Basic Examples and Constructions	2022	Matthew Nicol Karl Petersen
+	Ergodic Theory and Related Fields	2007	Idris Assani

Works That Cite This (3)

Action	Title	Year	Authors
+ PDF Chat	Pleasant extensions retaining algebraic structure, II	2015	Tim Austin
+	Isometric extensions, 2-cocycles and ergodicity of skew products	1999	Alexandre I. Danilenko Mariusz Lemańczyk
+	Pleasant extensions retaining algebraic structure, II	2009	Tim Austin

Works Cited by This (13)

Action	Title	Year	Authors
+	Some properties and applications of joinings in ergodic theory	2010	J Thouvenot
+	Coboundaries and Homomorphisms for Non-Singular Actions and a Problem of H. Helson	1980	Calvin C. Moore Klaus Schmidt
+ PDF Chat	Borel structure in groups and their duals	1957	George W. Mackey
+	Comparison of cocycles of measured equivalence relations and lifting problems	1998	Alexandre I. Danilenko
+	On Canonical Factors of Ergodic Dynamical Systems	1979	D. Newton
+ PDF Chat	Compact subgroups in the centralizer of natural factors of an ergodic group extension of a rotation determine all factors	1990	Mariusz Lemańczyk Mieczysław K. Mentzen
+	A criterion for a process to be prime	1982	William A. Veech
+	Extensions of cocycles for hyperfinite actions and applications	1997	Pierre Gabriel Mariusz Lemańczyk K. Schmidt
+ PDF Chat	On ergodic actions whose self-joinings are graphs	1987	Andrés del Junco Daniel J. Rudolph
+	Semisimplicity, joinings and group extensions	1995	Andrés del Junco Mariusz Lemańczyk Mieczysław K. Mentzen