Premium
Localization in Hermitian K ‐Theory of Rings
Author(s) -
Hornbostel Jens,
Schlichting Marco
Publication year - 2004
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/s0024610704005393
Subject(s) - hermitian matrix , mathematical proof , generalization , mathematics , algebraic number , conjecture , pure mathematics , algebra over a field , algebraic theory , algebraic structure , cofinality , discrete mathematics , mathematical analysis , geometry , uncountable set , countable set
Localization and dévissage 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.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom