Parabolically induced unitary representations of the universal group U(F)+ are C0
Abstract
By employing a new strategy we prove that all parabolically induced unitary representations of the Burger-Mozes universal group U(F)+, with F being primitive, have all their matrix coefficients vanishing at infinity. This generalizes the same well-known result for the universal group U(F)+, when F is 2-transitive.
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