Parabolic induction and restriction via -algebras and Hilbert -modules
Parabolic induction and restriction via -algebras and Hilbert -modules
This paper is about the reduced group $C^{\ast }$ -algebras of real reductive groups, and about Hilbert $C^{\ast }$ -modules over these $C^{\ast }$ -algebras. We shall do three things. First, we shall apply theorems from the tempered representation theory of reductive groups to determine the structure of the reduced …