Speaker
Nigel Higson
(Penn State University)
Description
The Cartan motion group and the Mackey deformation family
The Cartan motion group. The unitary dual and the C-algebra of the motion group. Structure in the unitary dual from the restricted root system. A filtration of the group C-algebra by ideals. The deformation construction associated to a Lie group and a maximal compact subgroup. The associated continuous field of group C-algebras. The Connes-Kasparov morphism in C-algebra K-theory. Relation to the Baum-Connes assembly map. The example of SL(2,R).