Non-Archimedean Duality: Algebras, Groups, and Multipliers

Anatoly N. Kochubei

Non-Archimedean Duality: Algebras, Groups, and Multipliers

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arxiv 1510.06876 v2 pith:7QXZ2GU2 submitted 2015-10-23 math.RA math.FAmath.OA

Anatoly N. Kochubei This is my paper · ORCID

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keywords algebrasgroupsdiscretedualitynon-archimedeanbanach-hopfcompactconsider

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We develop a duality theory for multiplier Banach-Hopf algebras over a non-Archimedean field K. As examples, we consider algebras corresponding to discrete groups and zero-dimensional locally compact groups with K-valued Haar measure, as well as algebras of operators generated by regular representations of discrete groups.

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$\left(p,q\right)$-adic Analysis and the Collatz Conjecture
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For a wide class of Collatz-type maps, the paper characterizes nonzero periodic points as integer values of a (p,q)-adic interpolation function and recasts the periodic-point question as a translate-density question, ...

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