An uncountable Moore–Schmidt theorem

Asgar Jamneshan, Terence Tao

Type: Article

Publication Date: 2022-05-11

Citations: 11

DOI: https://doi.org/10.1017/etds.2022.36

Abstract

Abstract We prove an extension of the Moore–Schmidt theorem on the triviality of the first cohomology class of cocycles for the action of an arbitrary discrete group on an arbitrary measure space and for cocycles with values in an arbitrary compact Hausdorff abelian group. The proof relies on a ‘conditional’ Pontryagin duality for spaces of abstract measurable maps.

Locations

Ergodic Theory and Dynamical Systems - View - PDF
Digital Collections portal (Koç University) - View - PDF
arXiv (Cornell University) - View - PDF
Ergodic Theory and Dynamical Systems - View - PDF
Digital Collections portal (Koç University) - View - PDF
arXiv (Cornell University) - View - PDF
Ergodic Theory and Dynamical Systems - View - PDF
Digital Collections portal (Koç University) - View - PDF
arXiv (Cornell University) - View - PDF

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+	Recurrence in Ergodic Theory and Combinatorial Number Theory	1981	Harry Furstenberg
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+	Lectures on ergodic theory	1956	Paul R. Halmos
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+ PDF	Berry–Esseen theorem and local limit theorem for non uniformly expanding maps	2005	Sébastien Gouëzel
+	Coboundaries and Homomorphisms for Non-Singular Actions and a Problem of H. Helson	1980	Calvin C. Moore Klaus Schmidt
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+	LOCAL LIMIT THEOREMS FOR PARTIAL SUMS OF STATIONARY SEQUENCES GENERATED BY GIBBS–MARKOV MAPS	2001	Jon Aaronson Manfred Denker
+	Lifting problem of the measure algebra	1983	Saharon Shelah
+	Groups admitting ergodic actions with generalized discrete spectrum	1979	Calvin C. Moore Robert J. Zimmer