29 mai 2017 à 2 juin 2017
TOULOUSE
Fuseau horaire Europe/Paris

A Baum-Connes conjecture for singular foliations

2 juin 2017, 09:40
45m
Amphi Schwartz IMT building 1R3 (TOULOUSE)

Amphi Schwartz IMT building 1R3

TOULOUSE

Paul Sabatier University

Orateur

M. Iakovos Androulidakis

Description

A large class of manifolds M endowed with a Stefan-Sussmann singular foliation, admit a decomposition which records the "height" of the singularities involved. These are the manifolds whose singular foliation is defined from a Lie groupoid, and the singularity height can be formulated using dimension. Using this decomposition we can formulate an assembly map for singular foliations as such, which is an isomorphism under suitable amenability conditions. The assembly map allows to calculate the K-theory of the foliation C*-algebra. This is joint work with Georges Skandalis.

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