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Beurling-Fourier algebras of compact quantum groups: characters and finite dimensional representations

Beurling-Fourier algebras of compact quantum groups: characters and finite dimensional representations

In this paper we study weighted versions of Fourier algebras of compact quantum groups. We focus on the spectral aspects of these Banach algebras in two different ways. We first investigate their Gelfand spectrum, which shows a connection to the maximal classical closed subgroup and its complexification. Secondly, we study …