A Baum-Connes conjecture for singular foliations
K-Theory and Homology
2020-01-15 v3
Abstract
We consider singular foliations whose holonomy groupoid may be nicely decomposed using Lie groupoids (of unequal dimension). We show that the Baum-Connes conjecture can be formulated in this setting. This conjecture is shown to hold under assumptions of amenability. We examine several examples that can be described in this way and make explicit computations of their K-theory.
Cite
@article{arxiv.1509.05862,
title = {A Baum-Connes conjecture for singular foliations},
author = {Iakovos Androulidakis and Georges Skandalis},
journal= {arXiv preprint arXiv:1509.05862},
year = {2020}
}
Comments
51 pages. The new version (October 2016) contains a much more explicit geometric construction of the left-hand side, also for foliations of singularity height larger than 1