Publication: An uncountable Moore-Schmidt theorem
Program
KU-Authors
Jamneshan, Asgar
KU Authors
Co-Authors
Tao, Terence
Advisor
Publication Date
Language
en
Type
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. © The Author(s), 2022. Published by Cambridge University Press.
Source:
Ergodic Theory and Dynamical Systems
Publisher:
Cambridge University Press
Keywords:
Subject
Mathematics