Abstract
Localization and devissage theorems are proved for the hermitian K-theory of rings that are analogous to well-known theorems in algebraic K-theory. The proofs rely on, among other things, a study of derived categories, a generalization of a theorem of Pedersen and Weibel to the hermitian setting, and a cofinality result for triangular Witt groups. Applications include a proof of a conjecture of Karoubi and algebraic Bott periodicity.
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