Real Grassmann polylogarithms and Chern classes.
Real versus complex K-theory using Kasparov's bivariant KK-theory.
Recollement of colimit categories and its applications
We give an explicit recollement for a cocomplete abelian category and its colimit category. We obtain some applications on Leavitt path algebras, derived equivalences and -groups.
Reduced power operations in motivic cohomology
Régulateurs
Relation entre les conjectures de Farrell-Jones en -théories algébrique et hermitienne
On montre que si la conjecture de Farrell-Jones en -théorie algébrique est vérifiée alors celle de la -théorie hermitienne est équivalente à l’existence d’un entier tel que “assembly map” soit un isomorphisme en degré et .
Relations between K2 and Galois Cohomology.
Remarks on flat and differential -theory
In this note we prove some results in flat and differential -theory. The first one is a proof of the compatibility of the differential topological index and the flat topological index by a direct computation. The second one is the explicit isomorphisms between Bunke-Schick differential -theory and Freed-Lott differential -theory.
Remarks on Yu’s ‘property A’ for discrete metric spaces and groups
Guoliang Yu has introduced a property on discrete metric spaces and groups, which is a weak form of amenability and which has important applications to the Novikov conjecture and the coarse Baum–Connes conjecture. The aim of the present paper is to prove that property in particular examples, like spaces with subexponential growth, amalgamated free products of discrete groups having property A and HNN extensions of discrete groups having property A.
Remarques sur les différentielles des polylogarithmes uniformes
On étudie des équations fonctionnelles pour les différentielles des polylogarithmes uniformes. Un des ingrédients est l’analogue infinitésimal d’un complexe introduit par Goncharov. On obtient en particulier une équation fonctionnelle à 22 termes pour la différentielle du trilogarithme.
Report on K-theory for convenient algebras. II.
Representation ring of the sequence of alternating groups
Representations of étale Lie groupoids and modules over Hopf algebroids
The classical Serre-Swan's theorem defines an equivalence between the category of vector bundles and the category of finitely generated projective modules over the algebra of continuous functions on some compact Hausdorff topological space. We extend these results to obtain a correspondence between the category of representations of an étale Lie groupoid and the category of modules over its Hopf algebroid that are of finite type and of constant rank. Both of these constructions are functorially...
Riemann-Roch for weakly-equivariant D-modules II.
Riemann-Roch theorem for higher bivariant K-functors
One defines a Riemann-Roch natural transformation from algebraic to topological higher bivariant K-theory in the category of complex spaces.
Riemann-Roch type theorems for arithmetic schemes with a finite group action.
Rigidity II: non-orientable case.
Rings with many idempotents.
Robust decoupling through algebraic output feedback in manipulation systems
This paper investigates the geometric and structural characteristics involved in the control of general mechanisms and manipulation systems. These systems consist of multiple cooperating linkages that interact with a reference member of the mechanism (the “object”) by means of contacts on any available part of their links. Grasp and manipulation of an object by the human hand is taken as a paradigmatic example for this class of manipulators. Special attention is devoted to the output specification...