Title: Mackey Embedding for Reduced Group C*-Algebra
Abstract: A Mackey bijection is a one-to-one correspondence between the set equivalence classes of irreducible tempered representations of a reductive group to the set of equivalence classes of irreducible unitary representation of an associated motion group. Several years ago, an embedding from the group C*-algebra of the motion group to the reduced group C*-algebra of the reductive group, which we now call the Mackey embedding, was constructed for the case of complex reductive group. In this talk, I shall present a fully realized construction of the Mackey embedding for the case of real reductive group. This is based on joint work with Pierre Clare and Nigel Higson.
Presented at Great Plains Operator Theory Symposium in San Juan, PR