3 citations · 7 across the 7 of their papers we have counts for
5 papers · 1 filter
Stabilization of the Witt group
Max Karoubi
Using an idea due to R.Thomason, we define a "homology theory" on the category of rings which satisfies excision, exactness, homotopy (in the algebraic sense) and periodicity of or…
Periodicity of hermitian K-theory and Milnor's K-groups
Max Karoubi
We use recent results proved by Berrick and the author (math.KT/0509404) to improve the periodicity theorem in hermitian K-theory. We define also a new filtration of the classical…
Algebraic and Real K-theory of Algebraic varieties
Max Karoubi, Charles Weibel
Let V be a smooth variety defined over the real numbers. Every algebraic vector bundle on V induces a complex vector bundle on the underlying topological space V(C), and the involu…
Hermitian K-theory of the integers
A. J. Berrick, M. Karoubi
The 2-primary torsion of the higher algebraic K-theory of the integers has been computed by Rognes and Weibel. In this paper we prove analogous results for the Hermitian K-theory o…
A descent theorem in topological K-theory
Max Karoubi
Let A be a Banach algebra and A' its complexification. In this paper we show that the homotopy fixed point set of K(A'), the topological K-theory space of A', under complex conjuga…