Complex powers of the contact Laplacian and the Baum-Connes conjecture for SU(n,1)

Details Complex powers of the contact Laplacian and the Baum-Connes conjecture for SU(n,1) Complex powers of the contact Laplacian and the Baum-Connes conjecture for SU(n,1)

2006-01-22

arxiv.org/abs/math/0601529v2

Mathematics

Analysis of PDEs

8 pages. Superceded by 2nd version of math.OA/0601528

Scientific paper

This paper is an extended version of math.OA/0601528 where we point out and remedy a gap in the proof by P. Julg and G. Kasparov of the Baum-Connes conjecture for discrete subgroups of SU(n,1). In particular, here we explain in details why the non-microlocality of the Heisenberg calculus prevents us from implementing into this framework the classical approach of Seeley to pseudodifferential complex powers, which was the main issue at stake in math.OA/0601528.

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