Localization in Hermitian K-theory of rings, by Jens Hornbostel and Marco Schlichting

We prove localization and devissage theorems for the hermitian K-theory of rings analogous to well-known theorems in algebraic K-theory. Our proofs rely among others on a study of derived categories, on a generalization of a theorem of Pedersen-Weibel to the hermitian setting and on a cofinality result for triangular Witt groups. Applications include a proof of a conjecture of Karoubi and algebraic Bott periodicity.

Jens Hornbostel <jens.hornbostel@mathematik.uni-regensburg.de>
Marco Schlichting <marco.schlichting@uni-essen.de>