The Mackey bijection for complex reductive groups and continuous fields of reduced group C*-algebras
Representation Theory
2019-08-30 v1 Operator Algebras
Abstract
The purpose of this paper is to make a further contribution to the Mackey bijection for a complex reductive group G, between the tempered dual of G and the unitary dual of the associated Cartan motion group. We shall construct an embedding of the C*-algebra of the motion group into the reduced C*-algebra of G, and use it to characterize the continuous field of reduced group C*-algebras that is associated to the Mackey bijection. We shall also obtain a new characterization of the Mackey bijection using the same embedding.
Keywords
Cite
@article{arxiv.1908.11008,
title = {The Mackey bijection for complex reductive groups and continuous fields of reduced group C*-algebras},
author = {Nigel Higson and Angel Roman},
journal= {arXiv preprint arXiv:1908.11008},
year = {2019}
}