@article{Block2012WeylCF,
title={Weyl character formula in KK-theory},
author={J. Block and N. Higson},
journal={arXiv: Operator Algebras},
year={2012}
}

The purpose of this paper is to begin an exploration of connections between the Baum-Connes conjecture in operator $\K$-theory and the geometric representation theory of reductive Lie groups. Our initial goal is very modest, and we shall not stray far from the realm of compact groups, where geometric representation theory amounts to elaborations of the Weyl character formula such as the Borel-Weil-Bott theorem. We shall recast the topological $\K$-theory approach to the Weyl character formula… CONTINUE READING