Localization in hermitian K-theory of rings

Hornbostel, Jens and Schlichting, Marco (2004) Localization in hermitian K-theory of rings. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 70. pp. 77-124. ISSN 0024-6107,

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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.

Item Type: Article
Uncontrolled Keywords: TRIANGULAR WITT GROUPS; CATEGORIES; SEQUENCE;
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 05 Jul 2021 12:39
Last Modified: 05 Jul 2021 12:39
URI: https://pred.uni-regensburg.de/id/eprint/37406

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