La conjecture de Baum-Connes pour un feuilletage sans holonomie de codimension un sur une variété fermée.

Marta Macho Stadler

Publicacions Matemàtiques (1989)

  • Volume: 33, Issue: 3, page 445-457
  • ISSN: 0214-1493

Abstract

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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 C∞-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.

How to cite

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Macho Stadler, Marta. "La conjecture de Baum-Connes pour un feuilletage sans holonomie de codimension un sur une variété fermée.." Publicacions Matemàtiques 33.3 (1989): 445-457. <http://eudml.org/doc/41084>.

@article{MachoStadler1989,
author = {Macho Stadler, Marta},
journal = {Publicacions Matemàtiques},
keywords = {Algebras; Variedad cerrada; Foliación; Baum-Connes conjecture; analytical K-theories; foliation; holonomy; classifying foliation; torus},
language = {fre},
number = {3},
pages = {445-457},
title = {La conjecture de Baum-Connes pour un feuilletage sans holonomie de codimension un sur une variété fermée.},
url = {http://eudml.org/doc/41084},
volume = {33},
year = {1989},
}

TY - JOUR
AU - Macho Stadler, Marta
TI - La conjecture de Baum-Connes pour un feuilletage sans holonomie de codimension un sur une variété fermée.
JO - Publicacions Matemàtiques
PY - 1989
VL - 33
IS - 3
SP - 445
EP - 457
LA - fre
KW - Algebras; Variedad cerrada; Foliación; Baum-Connes conjecture; analytical K-theories; foliation; holonomy; classifying foliation; torus
UR - http://eudml.org/doc/41084
ER -

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