On the 2-typical de Rham-Witt complex.
On the 4-rank of tame kernels of quadratic number fields
On the Chow groups of quadratic Grassmannians.
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 cyclotomic elements in K₂ of a rational function field
If l is a prime number, the cyclotomic elements in the l-torsion of K₂(k(x)), where k(x) is the rational function field over k, are investigated. As a consequence, a conjecture of Browkin is partially confirmed.
On the de Rham–Witt complex in mixed characteristic
On the decomposition map of Grothendieck groups.
On the domain of the assembly map in algebraic -theory.
On the elements of prime power order in K₂ of a number field
On the equivalence of Quillen's and Swan's -theories.
On the equivariant main conjecture of Iwasawa theory
On the exponent of the cokernel of the forget-control map on K₀-groups
For groups that satisfy the Isomorphism Conjecture in lower K-theory, we show that the cokernel of the forget-control K₀-groups is composed by the NK₀-groups of the finite subgroups. Using this information, we can calculate the exponent of each element in the cokernel in terms of the torsion of the group.
On the group .
On the index of nonlocal elliptic operators for compact Lie groups
We consider a class of nonlocal operators associated with a compact Lie group G acting on a smooth manifold. A notion of symbol of such operators is introduced and an index formula for elliptic elements is obtained. The symbol in this situation is an element of a noncommutative algebra (crossed product by G) and to obtain an index formula, we define the Chern character for this algebra in the framework of noncommutative geometry.
On the K-theory of the -algebra generated by the left regular representation of an Ore semigroup
We compute the -theory of -algebras generated by the left regular representation of left Ore semigroups satisfying certain regularity conditions. Our result describes the -theory of these semigroup -algebras in terms of the -theory for the reduced group -algebras of certain groups which are typically easier to handle. Then we apply our result to specific semigroups from algebraic number theory.
On the leading terms of zeta isomorphisms and -adic -functions in non-commutative Iwasawa theory.
On the Milnor -groups of complete discrete valuation fields.
On the multiplicative independence of binomial coefficients
On the nonexistence of certain morphisms from Grassmannian to Grassmannian in characteristic 0.