Weighted discrete hypergroups
Journal article, 2016

Weighted group algebras have been studied extensively in Abstract Harmonic Analysis, where complete characterizations have been found for some important properties of weighted group algebras, namely, amenability and Arens regularity. One of the generalizations of weighted group algebras is weighted hypergroup algebras. Defining weighted hypergroups, analogous to weighted groups, we study Arens regularity and isomorphism to operator algebras for them. We also examine our results on three classes of discrete weighted hypergroups constructed by conjugacy classes of FC groups, the dual space of compact groups, and the hypergroup structure defined by orthogonal polynomials. We observe some unexpected examples regarding Arens regularity and operator isomorphisms of weighted hypergroup algebras.

discrete hypergroups

FC groups

compact groups

weighted hypergroups


Mahmood Alaghmandan

University of Gothenburg

Chalmers, Mathematical Sciences, Mathematics

Ebrahim Samei

University of Saskatchewan

Indiana University Mathematics Journal

0022-2518 (ISSN)

Vol. 65 2 423-451

Subject Categories

Mathematical Analysis



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