Tamagawa numbers for motives with (non-commutative) coefficients.
Tame kernels of cubic cyclic fields
Tame kernels of cyclic extensions of number fields
Tame kernels of quintic cyclic fields
Tensor product of endo-permutation modules.
The 3-ranks of tame kernels of cubic cyclic number fields
The 4-rank of the tame kernel versus the 4-rank of the narrow class group in quadratic number fields
The 8-rank of tame kernels of quadratic number fields
The additivity theorem in algebraic -theory.
The Artin exponent of finite groups
The Baum-Connes conjecture.
The Bloch invariant as a characteristic class in .
The Bloch-Wigner-Ramakrishnan polylogarithm function.
The boundary of the Eisenstein symbol.
The boundary of the Eisenstein symbol (Erratum).
The Brauer and Brauer-Taylor groups of a symmetric monoidal category
The Brauer-Kuroda formula for higher S-class numbers in dihedral extensions of number fields
The Chern character for Lie-Rinehart algebras
Let be a commutative -algebra where is a ring containing the rationals. We prove the existence of a Chern character for Lie-Rinehart algebras over A with values in the Lie-Rinehart cohomology of L which is independent of choice of a -connection. Our result generalizes the classical Chern character from the -theory of to the algebraic De Rham cohomology.
The connection between the -theory localization theorem of Thomason, Trobaugh and Yao and the smashing subcategories of Bousfield and Ravenel
The Connes-Kasparov conjecture for almost connected groups and for linear -adic groups
Let G be a locally compact group with cocompact connected component. We prove that the assembly map from the topological K-theory of G to the K-theory of the reduced C*-algebra of G is an isomorphism. The same is shown for the groups of k-rational points of any linear algebraic group over a local field k of characteristic zero.