Parabolically induced unitary representations of the universal group U(F)^+ are C₀
classification
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math.GR
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groupuniversalinducedparabolicallyrepresentationsunitaryburger-mozescoefficients
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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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