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Hyperelementary assembly for K-theory of virtually abelian groups

Frank Quinn
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Abstract

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.

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Frank Quinn. 2006-02-16. Hyperelementary assembly for K-theory of virtually abelian groups. https://arxiv.org/abs/math/0509294

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