Group 1-cohomology is complemented
Group Theory
2017-12-06 v1 Algebraic Topology
Functional Analysis
Abstract
We show a structural property of cohomology with coefficients in an isometric representation on a uniformly convex Banach space: if the cohomology group is reduced, then, up to an isomorphism, it is a closed complemented, subspace of the space of cocycles and its complement is the subspace of coboundaries.
Keywords
Cite
@article{arxiv.1610.09188,
title = {Group 1-cohomology is complemented},
author = {Piotr W. Nowak},
journal= {arXiv preprint arXiv:1610.09188},
year = {2017}
}
Comments
To appear in the Bulletin of the LMS