36 citations · 52 across the 11 of their papers we have counts for
14 papers
Lie groupoids, pseudodifferential calculus and index theory
Claire Debord, Georges Skandalis
Alain Connes introduced the use of Lie groupoids in noncommutative geometry in his pioneering work on the index theory of foliations. In the present paper, we recall the basic noti…
The Baum--Connes conjecture localised at the unit element of a discrete group
Paolo Antonini, Sara Azzali, Georges Skandalis
We construct a Baum--Connes assembly map localised at the unit element of a discrete group . This morphism, called , is defined in -theory with coefficients in $\mathbb…
Blowup constructions for Lie groupoids and a Boutet de Monvel type calculus
Claire Debord, Georges Skandalis
We present natural and general ways of building Lie groupoids, by using the classical procedures of blowups and of deformations to the normal cone. Our constructions are seen to re…
A Baum-Connes conjecture for singular foliations
Iakovos Androulidakis, Georges Skandalis
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 formulat…
Bivariant -theory with -coefficients and rho classes of unitary representations
Paolo Antonini, Sara Azzali, Georges Skandalis
We construct equivariant -theory with coefficients in and as suitable inductive limits over -factors. We show that the Kasparov…
Stability of Lie groupoid C*-algebras
Claire Debord, Georges Skandalis
In this paper we generalize a theorem of M. Hilsum and G. Skandalis stating that the - algebra of any foliation of non zero dimension is stable. Precisely, we show that the C*…