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.Comment: To appear in Math. Scan

Ciobotaru, Corina

English

arXiv

We prove that all parabolically induced unitary representations of the Burger-Mozes universal group $U(F)^{+}$, with $F$ being primitive, are $C_0$. This generalizes the same well-known result for the universal group $U(F)^{+}$, when $F$ is $2$-transitive

Parabolically induced unitary representations of the universal group U(F)^+ are C_0

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