Non-Archimedean Duality: Algebras, Groups, and Multipliers

2015/10/23 by Kochubei, Anatoly N.
#43A40 #46H99 #46S10 #47L99 #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA) #Primary: 16T05 #Rings and Algebras (math.RA) #Secondary: 20G42

paper · doi:10.48550/arxiv.1510.06876

Abstract

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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