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Continuous Control and the Algebraic L-theory Assembly Map

David Rosenthal
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Abstract

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.

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David Rosenthal. 2003-12-02. Continuous Control and the Algebraic L-theory Assembly Map. https://arxiv.org/abs/math/0312046

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