Hyperelementary assembly for K-theory of virtually abelian groups

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Controlled $K$-theory is used to show that algebraic $K$-theory of virtually abelian groups is described by an assembly map defined using possibly-infinite hyperelementary subgroups. The Farrell-Jones summand (coming from infinite subgroups) is parameterized by the rational projective space of the group, and a reduced version is torsion. Includes general material on assembly and universal spaces.
30 page AMS-TeX file. Feb 06 revision fixes misprints, minor errors

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K-Theory and Homology, Geometric Topology, 19A31; 19B28; 19DXX

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http://salesiana.dossiersoluciones.com/handle/123456789/102262

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0509294
 http://arxiv.org/abs/math/0509294

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arXiv