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.
The cyclotomic trace and algebraic K-theory of spaces.
The equivariant -homomorphism.
The existence of higher logarithms
The Gersten conjecture for Witt groups in the equicharacteristic case.
The Grothendieck group of GL(F)×GL(G)-equivariant modules over the coordinate ring of determinantal varieties
The Grothendieck-Riemann-Roch theorem for group scheme actions
The Hatcher-Waldhausen map is a spectrum map.
The Hochschild cohomology of a closed manifold
Let M be a closed orientable manifold of dimension dand be the usual cochain algebra on M with coefficients in a fieldk. The Hochschild cohomology of M, is a graded commutative and associative algebra. The augmentation map induces a morphism of algebras . In this paper we produce a chain model for the morphism I. We show that the kernel of I is a nilpotent ideal and that the image of I is contained in the center of , which is in general quite small. The algebra is expected to be isomorphic...
The homology of special linear groups over polynomial rings
The image of the natural homomorphism of Witt rings of orders in a global field
Let R be a Dedekind domain whose field of fractions is a global field. Moreover, let 𝓞 < R be an order. We examine the image of the natural homomorphism φ : W𝓞 → WR of the corresponding Witt rings. We formulate necessary and sufficient conditions for the surjectivity of φ in the case of all nonreal quadratic number fields, all real quadratic number fields K such that -1 is a norm in the extension K/ℚ, and all quadratic function fields.
The indecomposable of fields
The index of projective families of elliptic operators.
The -groups of -rings. Part II. Invertibility of the logarithmic map
The Leibniz rule in algebraic -theory.