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