Publication: An uncountable Moore-Schmidt theorem
Program
KU-Authors
KU Authors
Co-Authors
Tao, Terence
Publication Date
Language
Type
Embargo Status
Journal Title
Journal ISSN
Volume Title
Alternative 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. © The Author(s), 2022. Published by Cambridge University Press.
Source
Publisher
Cambridge University Press
Subject
Mathematics
Citation
Has Part
Source
Ergodic Theory and Dynamical Systems
Book Series Title
Edition
DOI
10.1017/etds.2022.36