On the K-theory of groups with finite asymptotic dimension, by Arthur Bartels and David Rosenthal

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 universal space for proper actions. The result also applies to certain groups that admit only a finite dimensional model for the universal space. In particular, it applies to discrete subgroups of virtually connected Lie groups.

Arthur Bartels <bartelsa@math.uni-muenster.de>
David Rosenthal <rosenthd@stjohns.edu>