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arXiv · 1302.1392

On the cohomology of weakly almost periodic group representations

Uri Bader·Christian Rosendal·Roman Sauer
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Abstract

We initiate a study of cohomological aspects of weakly almost periodic group representations on Banach spaces, in particular, isometric representations on reflexive Banach spaces. Using the Ryll-Nardzewski fixed point Theorem, we prove a vanishing result for the restriction map (with respect to a subgroup) in the reduced cohomology of weakly periodic representations. Combined with the Alaoglu-Birkhoff decomposition theorem, this generalizes and complements theorems on continuous group cohomology by several authors.

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Uri Bader, Christian Rosendal, Roman Sauer. 2013-02-06. On the cohomology of weakly almost periodic group representations. https://arxiv.org/abs/1302.1392

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