A Mackey-analogy-based Proof of the Connes-Kasparov Isomorphism for Real Reductive Groups
A Mackey-analogy-based Proof of the Connes-Kasparov Isomorphism for Real Reductive Groups
We give a new representation-theory based proof of the Connes-Kasparov conjecture for the K-theory of reduced C*-algebras of real reductive Lie groups. Our main tool is a natural correspondence between the tempered representation theory of such a group and that of its Cartan motion group, a semidirect product whose unitary …