C*-algebraic intertwiners for degenerate principal series of special linear groups

TL;DR

This paper constructs explicit unitary intertwiners for degenerate principal series representations of SL(n+1) over local fields using C*-algebraic methods, normalizing standard integrals at the Hilbert module level.

Contribution

It introduces a novel C*-algebraic approach to normalize and construct intertwiners for degenerate principal series of special linear groups.

Findings

Explicit construction of unitary intertwiners

Normalization of standard intertwining integrals

Application to C*-algebraic universal principal series

Abstract

We construct unitary intertwiners for degenerate C*-algebraic universal principal series of SL(n+1) over a local field by explicitely normalizing standard intertwining integrals a the level of Hilbert modules.