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arXiv · 2611.03437

Spectra of Beurling algebras of abelian groups

Nico Spronk·Zhihao Zhang
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Abstract

We give a complete classification of all sets which are spectra of Beurling algebras of any locally compact abelian group, parametrizing them by compact convex sets in the dual of a certain locally convex vector space generated by the group. Hence, for example, a finitely generated free abelian group may enjoy a more complicated range of such spectra than the does rational numbers.

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Nico Spronk, Zhihao Zhang. 2026-11-02. Spectra of Beurling algebras of abelian groups. https://arxiv.org/abs/2611.03437

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