Publication: An uncountable Moore-Schmidt theorem
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Program
KU-Authors
KU Authors
Co-Authors
Tao, Terence
Advisor
Publication Date
2022
Language
English
Type
Journal Article
Journal Title
Journal ISSN
Volume Title
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.
Description
Source:
Ergodic Theory and Dynamical Systems
Publisher:
Cambridge University Press (CUP)
Keywords:
Subject
Mathematics