Complementation in Continuous Cohomology with Coefficients in Banach Modules

In this article, we introduce the concept of weakly uniquely stationary representations. This framework enables us to investigate the complementability of closed subspaces within the context of continuous cohomology with coeffcients in Banach modules. As an application, we extend and refine several...

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Bibliographic Details
Published in:arXiv.org 2024-07
Main Author: Klisse, Mario
Format: Article
Language:English
Subjects:
Homology
Modules
Subspaces
Online Access:Get full text
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Summary:In this article, we introduce the concept of weakly uniquely stationary representations. This framework enables us to investigate the complementability of closed subspaces within the context of continuous cohomology with coeffcients in Banach modules. As an application, we extend and refine several cohomological results from the literature, particularly in the settings of nilpotent groups, products of groups, and lattices.
ISSN:2331-8422