Hyperelementary assembly for K-theory of virtually abelian groups
arXiv:math/0509294
Abstract
Controlled -theory is used to show that algebraic -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