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Continuous control and the algebraic L-theory assembly map
Published/Copyright:
May 17, 2006
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.
Received: 2003-12-06
Published Online: 2006-05-17
Published in Print: 2006-03-21
© Walter de Gruyter
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Articles in the same Issue
-
Restricting isotropic α-stable Lévy processes from
to fractal sets - Continuous control and the algebraic L-theory assembly map
- Tilting modules and Gorenstein rings
- Variational character of the Cauchy-Riemann equations
- The Lp–Lq version of Hardy's Theorem on nilpotent Lie groups
- On the Lipschitz regularity for certain elliptic problems
- On the asymptotics of quantum SU(2) representations of mapping class groups
- Infinite-dimensional homotopy space forms
- Factor theorems for locally compact Markov shifts II
