30 citations · 136 across the 29 of their papers we have counts for
37 papers
Admissible Higson-Roe sequences for transformation groupoids
Moulay-Tahar Benameur, Victor Moulard
Given a finitely generated discrete group Γ, we construct for any admissible crossed product completion and for any metrizable finite dimensional compact Γ-space X, a universal Hig…
The higher fixed point theorem for foliations. Applications to rigidity and integrality
Moulay Tahar Benameur, James L. Heitsch
We give applications of the higher Lefschetz theorems for foliations of [BH10], primarily involving Haefliger cohomology. These results show that the transverse structures of folia…
Higher relative index theorems for foliations
Moulay Tahar Benameur, James L. Heitsch
In this paper we solve the general case of the cohomological relative index problem for foliations of non-compact manifolds. In particular, we significantly generalize the groundbr…
Dirac operators on foliations with invariant transverse measures
Moulay Tahar Benameur, James L. Heitsch
We extend the groundbreaking results of Gromov and Lawson on positive scalar curvature and the Dirac operator on complete Riemannian manifolds to Dirac operators defined along the…
The Gromov-Lawson index and the Baum-Connes assembly map
Moulay-Tahar Benameur
This is a survey paper which gathers some results related with the study of Positive Scalar Curvature metrics in connection with the Baum-Connes assembly map.
The relative L^2 index theorem for Galois coverings
Moulay-Tahar Benameur
Given a Galois covering of complete spin manifolds where the base metric has PSC near infinity, we prove that for small enough epsilon > 0, the epsilon spectral projection of the D…