From algebraic K-theory to hermitian K-theory

Details From algebraic K-theory to hermitian K-theory From algebraic K-theory to hermitian K-theory

2005-09-26

arxiv.org/abs/math/0509594v1

Mathematics

K-Theory and Homology

6 pages, to be published in Comptes Rendus Acad. Sci. Paris, see also http://www.math.jussieu.fr/~karoubi/

Scientific paper

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.

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