30 citations · 136 across the 29 of their papers we have counts for
15 papers · 1 filter
An equivariant PPV theorem and Paschke-Higson duality
Moulay-Tahar Benameur, Indrava Roy
We prove an equivariant localized and norm-controlled version of the Pimsner-Popa-Voiculescu theorem. As an application, we deduce a proof of the Paschke-Higson duality for transfo…
The index of leafwise G-transversally elliptic operators on foliations
Alexandre Baldare, Moulay-Tahar Benameur
We introduce and study the index morphism for G-invariant leafwise G-transversally elliptic operators on smooth closed foliated manifolds which are endowed with leafwise actions of…
The Higson-Roe sequence for étale groupoids II. The universal sequence for equivariant families
Moulay-Tahar Benameur, Indrava Roy
This is the second part of our series about the Higson-Roe sequence for étale groupoids. We devote this part to the proof of the universal -theory surgery exact sequence which e…
The Higson-Roe sequence for étale groupoids. I. Dual algebras and compatibility with the BC map
Moulay-Tahar Benameur, Indrava Roy
We introduce the dual Roe algebras for proper étale groupoid actions and deduce the expected Higson-Roe short exact sequence. When the action is cocompact, we show that the Roe $C^…
The higher twisted index theorem for foliations
Moulay-Tahar Benameur, Alexander Gorokhovsky, Eric Leichtnam
Given a gerbe , on the holonomy groupoid of the foliation , whose pull-back to is torsion, we construct a Connes -map from the twisted Dupon…
The Higson-Roe exact sequence and eta invariants
Moulay-Tahar Benameur, Indrava Roy
The goal of this paper is to solve the problem of existence of an relative eta morphism on the Higson-Roe structure group. Using the Cheeger-Gromov eta invariant,…