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

dc.creatorPonge, Raphael
dc.date2006-01-22
dc.date2006-04-25
dc.date.accessioned2026-07-07T06:59:10Z
dc.date.available2026-07-07T06:59:10Z
dc.descriptionThis 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.
dc.description8 pages. Superceded by 2nd version of math.OA/0601528
dc.identifierhttps://arxiv.org/abs/math/0601529
dc.identifierhttp://arxiv.org/abs/math/0601529
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/107649
dc.subjectAnalysis of PDEs
dc.titleComplex powers of the contact Laplacian and the Baum-Connes conjecture for SU(n,1)
dc.typetext

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