From algebraic K-theory to hermitian K-theory
K-Theory and Homology
2016-09-07 v1 Algebraic Topology
Abstract
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 for the higher algebraic K-theory of a ring A in terms of the classical Witt group of the ring A tensored by its opposite ring.
Cite
@article{arxiv.math/0509594,
title = {From algebraic K-theory to hermitian K-theory},
author = {Max Karoubi},
journal= {arXiv preprint arXiv:math/0509594},
year = {2016}
}
Comments
6 pages, to be published in Comptes Rendus Acad. Sci. Paris, see also http://www.math.jussieu.fr/~karoubi/