Algebraic K-theory encodes important invariants for several mathematical disciplines,
spanning from geometric topology and functional analysis to number theory and algebraic …

Using topological cyclic homology, we give a refinement of Beilinson'sp-adic Goodwillie
isomorphism between relative continuous K-theory and cyclic homology. As a result, we …

We relate the algebraic $ K $-theory of the ring of integers in a number field $ F $ to its étale
cohomology. We also relate it to the zeta-function of $ F $ when $ F $ is totally real and …

In this paper we define 2-vector bundles as suitable bundles of 2-vector spaces over a base
space, and compare the resulting 2-K-theory with the algebraic K-theory spectrum K (V) of …

In this paper we compute the topological Hochschild homology of quotients of discrete
valuation rings (DVRs). Along the way we give a short argument for Bökstedt periodicity and …

We prove a purity property in telescopically localized algebraic $ K $-theory of ring spectra:
For $ n\geq 1$, the $ T (n) $-localization of $ K (R) $ only depends on the $ T …

We compute the mod 2 cohomology of Waldhausen's algebraic K-theory spectrum A (∗) of
the category of finite pointed spaces, as a module over the Steenrod algebra. This also …

We prove that the Farrell–Jones assembly map for connective algebraic K-theory is
rationally injective, under mild homological finiteness conditions on the group and assuming …

Abstract Rognes and Weibel used Voevodsky's work on the Milnor conjecture to deduce the
strong Dwyer-Friedlander form of the Lichtenbaum-Quillen conjecture at the prime 2. In …

The topological Hochschild homology of the integers T (Z)= THH (Z) is an S1-equivariant
spectrum. We prove by computation that for the restricted C2-action on T (Z) the fixed points …