On stable K-theory and topological Hochschild homology.
On the 2-typical de Rham-Witt complex.
On the cycle map for products of elliptic curves over a p-adic field
On the cyclic homology of ringed spaces and schemes.
On the de Rham–Witt complex in mixed characteristic
On the domain of the assembly map in algebraic -theory.
On the equivalence of Quillen's and Swan's -theories.
On the Milnor -groups of complete discrete valuation fields.
On the non-torsion elements in the algebraic K-theory of rings of integers.
On the corresponding to bialgebras
On the real cohomology of arithmetic groups and the rank conjecture for number fields
On the real cohomology of spaces of free loops on manifolds
Let LX be the space of free loops on a simply connected manifold X. When the real cohomology of X is a tensor product of algebras generated by a single element, we determine the algebra structure of the real cohomology of LX by using the cyclic bar complex of the de Rham complex Ω(X) of X. In consequence, the algebra generators of the real cohomology of LX can be represented by differential forms on LX through Chen’s iterated integral map. Let be the circle group. The -equivariant cohomology...
On the structure of Milnor -groups of certain complete discrete valuation fields
For a typical example of a complete discrete valuation field of type II in the sense of [12], we determine the graded quotients for all . In the Appendix, we describe the Milnor -groups of a certain local ring by using differential modules, which are related to the theory of syntomic cohomology.
Pic is a contracted functor.
Polynomial functors over finite fields
Produit tensoriel de matrices, homologie cyclique, homologie des algèbres de Lie
On munit, naturellement, d’un surproduit l’algèbre extérieure de l’homologie cyclique d’une -algèbre commutative ( étant un corps de caractéristique zéro) à l’aide du produit de Loday-Quillen. On munit d’un surproduit l’homologie de l’algèbre de Lie du groupe linéaire général de à l’aide du produit tensoriel de matrices. On montre que l’isomorphisme d’algèbres de Hopf de Loday-Quillen est compatible avec les surproduits définis ci-dessus. On obtient ainsi une interprétation du produit de Loday-Quillen,...
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.
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 .
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.
Secondary invariants for Frechet algebras and quasihomomorphisms.