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On the K-theory of hermitian categories

Abstract : We generalize the definition of hermitian K-theory from rings with involution to exact categories with duality. Then we prove localization and devissage theorems for Dedekind domains which solves a conjecture of Karoubi from 1974. Finally, we study the hermitian K-theory of number fields.
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https://tel.archives-ouvertes.fr/tel-00006013
Contributor : Jens Hornbostel <>
Submitted on : Wednesday, May 5, 2004 - 7:37:35 PM
Last modification on : Friday, March 27, 2020 - 2:57:16 AM
Long-term archiving on: : Tuesday, September 7, 2010 - 5:10:39 PM

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  • HAL Id : tel-00006013, version 1

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Jens Hornbostel. On the K-theory of hermitian categories. Mathematics [math]. Université Paris-Diderot - Paris VII, 2001. English. ⟨tel-00006013⟩

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