Complementation in Continuous Cohomology with Coefficients in Banach Modules

2024/07/22 by Mario Klisse, Klisse, Mario
Mathematics · #Homotopy and Cohomology in Algebraic Topology #Algebraic and Geometric Analysis #Advanced Topics in Algebra

paper · pdf · doi:10.48550/arxiv.2407.15746

Abstract

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.

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