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arXiv · 1605.07408

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

Pierre Julg
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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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Pierre Julg. 2016-05-24. The Bernstein-Gelfand-Gelfand complex for rank one semi simple Lie groups as a Kasparov module. https://arxiv.org/abs/1605.07408

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