21 citations · 84 across the 24 of their papers we have counts for
6 papers · 2 filters
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…
From algebraic K-theory to hermitian K-theory
Max Karoubi
We introduce a new morphism between algebraic and hermitian K-theory. The topological analog is the Adams operation in real K-theory. From this morphism, we deduce a lower bound fo…
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…
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…
Equivariant K-theory of real vector spaces and real vector bundles
Max Karoubi
Let G be a finite group acting on a finite dimensional real vector space V. We denote by P(V) the projective space associated to V. In this paper we compute in a very explicit way…