Parabolically induced unitary representations of the universal group   U(F)^+ are C_0
  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. 
Corina Ciobotaru
math.RT math.GR