On the Isomorphism Conjecture in algebraic K-theory

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The 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.
64 pages

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Algebraic Topology, Geometric Topology, K-Theory and Homology, 19A31, 19B28, 19D35, 19D50

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http://salesiana.dossiersoluciones.com/handle/123456789/62052

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0108139
 http://arxiv.org/abs/math/0108139

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arXiv