David Rosenthal
Continuous control and the algebraic L-theory assembly map
In this work, the assembly map in L-theory for the family of finite subgroups is
proven to be a split injection for a class of groups. Groups in this class, including virtually
polycyclic groups, have universal spaces that satisfy certain geometric conditions. The proof
follows the method developed by Carlsson-Pedersen to split the assembly map in the case of
torsion free groups. Here, the continuously controlled techniques and results are extended to
handle groups with torsion.
Forum Mathematicum, Walter de Gruyter
Print ISSN: 0933-7741
Volume: 18, 03/2006
Pages: 193 - 209
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