An uncountable Moore-Schmidt theorem

Asgar Jamneshan; Terence Tao

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arXiv · 1911.12033

An uncountable Moore-Schmidt theorem

Asgar Jamneshan·Terence Tao

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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.

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Asgar Jamneshan, Terence Tao. 2019-11-27. An uncountable Moore-Schmidt theorem. https://arxiv.org/abs/1911.12033

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