The Bernstein-Gelfand-Gelfand complex for rank one semi simple Lie   groups as a Kasparov module
  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. 
Pierre Julg
math.OA