La conjecture de Baum-Connes pour un feuilletage sans holonomie de codimension un sur une variété fermée
ISSN: 0214-1493
Año de publicación: 1989
Título del ejemplar: Mois de Jun Feuilleté/Semester on Differential Geometry
Volumen: 33
Número: 3
Páginas: 445-457
Tipo: Artículo
Otras publicaciones en: Publicacions matematiques
Resumen
In [C2], Baum-Connes state a conjecture for the K-theory of C*-algebras of foliations. This conjecture has been proved by T. Natsume [N2] for C8-codimension one foliations without holonomy on a closed manifold. We propose here another proof of the conjecture for this class of foliations, more geometric and based on the existence of the Thom isomorphism, proved by A. Connes in [C3]. The advantage of this approach is that the result will be valid for all C0-foliations.