On the Isomorphism Conjecture in algebraic K-theory

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dc.creatorBartels, Arthur
dc.creatorFarrell, Tom
dc.creatorJones, Lowell
dc.creatorReich, Holger
dc.date2001-08-21
dc.date.accessioned2026-07-07T04:43:03Z
dc.date.available2026-07-07T04:43:03Z
dc.descriptionThe Isomorphism Conjecture is a conceptional approach towards a calculation of the algebraic K-theory of a group ring RG, where G is an infinite group. In this paper we prove the conjecture in dimensions n<2 for fundamental groups of closed Riemannian manifolds with strictly negative sectional curvature and an arbitrary coefficient ring R. If R is regular this leads to a concrete calculation of low dimensional K-theory groups of RG in terms of the K-theory of R and the homology of the group.
dc.description64 pages
dc.identifierhttps://arxiv.org/abs/math/0108139
dc.identifierhttp://arxiv.org/abs/math/0108139
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62052
dc.subjectAlgebraic Topology
dc.subjectGeometric Topology
dc.subjectK-Theory and Homology
dc.subject19A31, 19B28, 19D35, 19D50
dc.titleOn the Isomorphism Conjecture in algebraic K-theory
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