The Bernstein-Gelfand-Gelfand complex for rank one semi simple Lie groups as a Kasparov module
Operator Algebras
2016-05-25 v1
Abstract
We construct a Fredhom module representing the Kasparov gamma element in G-equivariant KK-theory for G a semisimple Lie group of real rank one. This is the main step of our proof of the Baum-Connes conjecture for such groups.
Keywords
Cite
@article{arxiv.1605.07408,
title = {The Bernstein-Gelfand-Gelfand complex for rank one semi simple Lie groups as a Kasparov module},
author = {Pierre Julg},
journal= {arXiv preprint arXiv:1605.07408},
year = {2016}
}