On the K-theory of groups with finite asymptotic dimension

Details On the K-theory of groups with finite asymptotic dimension On the K-theory of groups with finite asymptotic dimension

2006-05-03

arxiv.org/abs/math/0605088v4

Mathematics

K-Theory and Homology

21 pages; final version; to appear in J. Reine Angew. Math

Scientific paper

It is proved that the assembly maps in algebraic K- and L-theory with respect to the family of finite subgroups is injective for groups with finite asymptotic dimension that admit a finite model for the classifying space for proper actions. The result also applies to certain groups that admit only a finite dimensional model for this space. In particular, it applies to discrete subgroups of virtually connected Lie groups.

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