Hyperelementary assembly for K-theory of virtually abelian groups

Details Hyperelementary assembly for K-theory of virtually abelian groups Hyperelementary assembly for K-theory of virtually abelian groups

2005-09-13

arxiv.org/abs/math/0509294v4

Mathematics

K-Theory and Homology

30 page AMS-TeX file. Feb 06 revision fixes misprints, minor errors

Scientific paper

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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