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# Algebraic K-theory over virtually abelian groups

@inproceedings{Quinn2011AlgebraicKO, title={Algebraic K-theory over virtually abelian groups}, author={Frank Quinn}, year={2011} }

- Published 2011

Controlled K -theory is used to show that algebraic K -theory of a group mapping to a virtually abelian group is described by an assembly map defined using hyperelementary subgroups (possibly infinite) of the target group. These subgroups are virtually cyclic, so the result is a refinement of the (fibered) Farrell–Jones conjecture that K -theory comes from virtually cyclic groups. A corollary is that for any group, the Farrell–Jones conjecture is equivalent to this refined version. © 2011… CONTINUE READING