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Licensed Unlicensed Requires Authentication Published by De Gruyter May 17, 2006

Continuous control and the algebraic L-theory assembly map

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From the journal


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.

(Communicated by Andrew Ranicki)

Received: 2003-12-06
Published Online: 2006-05-17
Published in Print: 2006-03-21

© Walter de Gruyter

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