3 citations · 5 across the 6 of their papers we have counts for
7 papers
Fibre bundles, connections and cyclic homology
Max Karoubi
This is a survey paper, starting from the general notion of coordinate bundle taken from Steenrod. Its aim is to provide a motivation for the introduction of cyclic homology (and t…
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…
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…
Quasi-commutative cochains in algebraic topology
Max Karoubi
We introduce a new algebraic concept of an algebra which is "almost" commutative (more precisely "quasi-commutative differential graded algebra" or ADGQ, in French). We associate t…