Stabilization of the Witt group

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dc.creatorKaroubi, Max
dc.date2005-09-27
dc.date.accessioned2026-07-07T06:19:21Z
dc.date.available2026-07-07T06:19:21Z
dc.descriptionUsing an idea due to R.Thomason, we define a "homology theory" on the category of rings which satisfies excision, exactness, homotopy (in the algebraic sense) and periodicity of order 4. For regular noetherian rings, we find P. Balmer's higher Witt groups. For more general rings, this homology isomorphic to the KT-theory of J. Hornbostel, inspired by the work of B. Williams. For real or complex C*-algebras, we recover - up to 2 torsion - topological K-theory.
dc.description6 pages ; see also http://www.math.jussieu.fr/~karoubi/
dc.identifierhttps://arxiv.org/abs/math/0509617
dc.identifierhttp://arxiv.org/abs/math/0509617
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/95041
dc.subjectK-Theory and Homology
dc.subjectAlgebraic Topology
dc.subject19G38
dc.titleStabilization of the Witt group
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