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.
