A Tannakian Reconstruction Theorem for IndBanach Spaces (1703.05679v3)

Published 16 Mar 2017 in math.FA and math.RT

Abstract: Classically, Tannaka-Krein duality allows us to reconstruct a (co)algebra from its category of representation. In this paper we present an approach that allows us to generalise this theory to the setting of Banach spaces. This leads to several interesting applications in the directions of analytic quantum groups, bounded cohomology and galois cohomology. A large portion of this paper is dedicated to such examples.

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