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math.FA2026
Non-Wiener groups with a Gelfand pair
Max Carter, Jared T. White
Let be a non-amenable locally compact group and a compact subgroup of such that is a Gelfand pair. We show that if admits a suitable boundary representation…
math.FA2026
Radicals of Biduals of Beurling Algebras Can Be Different for the Two Arens Products
Jared T. White
Let denote the Jacobson radical of a Banach algebra, and let and denote the two Arens products on its bidual. We give an example of a Beurlin…
math.FA2024
Weak*-Simplicity of Convolution Algebras on Discrete Groups
Jared T. White
We prove that, given a discrete group , and , the algebra of -convolution operators is weak*-simple, in the sense of having no non-trivial weak*-…