Authors: Arthur Bartels, David Rosenthal
Authors' e-mail addresses: bartelsa@math.uni-muenster.de, rosenthd@stjohns.edu
MSC-class: 19B28 (Primary) 19D50 (Secondary)
arXiv submission number: math.KT/0605088
Abstract: 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.