3 papers
math.DG2024
Poisson transforms, the BGG complex, and discrete series representations of SU(n+1,1)
Andreas Cap, Christoph Harrach, Pierre Julg
The aim of this article is to construct a specific Poisson transform mapping differential forms on the sphere endowed with its natural CR structure to forms on complex h…
math.OA2019
The Baum-Connes conjecture: an extended survey
Maria Paula Gomez Aparicio, Pierre Julg, Alain Valette
We present a history of the Baum-Connes conjecture, the methods involved, the current status, and the mathematics it generated.
math.OA2016
The Bernstein-Gelfand-Gelfand complex for rank one semi simple Lie groups as a Kasparov module
Pierre Julg
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 o…