21 citations · 84 across the 24 of their papers we have counts for
19 papers · 1 filter
Real K-theories
Max Karoubi
The purpose of this short paper is to investigate relations between various real K-theories. In particular, we show how a real projective bundle theorem implies an unexpected relat…
The Witt group of real surfaces
Max Karoubi, Charles Weibel
Let be an algebraic variety defined over , and the space of its complex points. We compare the algebraic Witt group of symmetric bilinear forms on v…
Twisted K-theory, Real -bundles and Grothendieck-Witt groups
Max Karoubi, Charles Weibel
We introduce a general framework to unify several variants of twisted topological -theory. We focus on the role of finite dimensional real simple algebras with a product-preserv…
The Witt group of real algebraic varieties
Max Karoubi, Marco Schlichting, Charles Weibel
Let be an algebraic variety over . The purpose of this paper is to compare its algebraic Witt group with a new topological invariant , base…
Algebraic and Hermitian K-theory of K-rings
Max Karoubi, Mariusz Wodzicki
The main purpose of the present article is to establish the real case of "Karoubi's conjecture" in algebraic K-theory. The complex case was proved in 1990-91 by the second author a…
Periodicity of hermitian K-groups
A. J. Berrick, M. Karoubi, P. A. Østvær
Bott periodicity for the unitary, orthogonal and symplectic groups is fundamental to topological K-theory. Analogous to unitary topological K-theory, for algebraic K-groups with fi…