Orateur
Pierre Clare
(College of William & Mary)
Description
Intertwining operators between parabolically induced representations play a fundamental role in the study of the tempered dual of reductive groups. Therefore it is not surprising to see related objects, such as R-groups, appear in the description of the reduced C*-algebra associated to these groups. The purpose of this talk will be to explain how various techniques of operator algebraic nature allow to study families of intertwining operators at the level of Hilbert modules, with the goal of analyzing the tempered dual as a noncommutative topological space. Most results presented are joint work with Tyrone Crisp and Nigel Higson.
