Coefficients for the Farrell-Jones Conjecture

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dc.creatorBartels, Arthur
dc.creatorReich, Holger
dc.date2005-10-27
dc.date.accessioned2026-07-07T06:48:00Z
dc.date.available2026-07-07T06:48:00Z
dc.descriptionWe introduce the Farrell-Jones Conjecture with coefficients in an additive category with G-action. This is a variant of the Farrell-Jones Conjecture about the algebraic K- or L-Theory of a group ring RG. It allows to treat twisted group rings and crossed product rings. The conjecture with coefficients is stronger than the original conjecture but it has better inheritance properties. Since known proofs using controlled algebra carry over to the set-up with coefficients we obtain new results about the original Farrell-Jones Conjecture. The conjecture with coefficients implies the fibered version of the Farrell-Jones Conjecture.
dc.description21 pages
dc.identifierhttps://arxiv.org/abs/math/0510602
dc.identifierhttp://arxiv.org/abs/math/0510602
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/103843
dc.subjectK-Theory and Homology
dc.subject19A31; 19B28; 19DXX
dc.titleCoefficients for the Farrell-Jones Conjecture
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