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Licensed Unlicensed Requires Authentication Published by De Gruyter June 14, 2007

Induction Theorems and Isomorphism Conjectures for K- and L-Theory

  • Arthur Bartels EMAIL logo and Wolfgang Lück
From the journal


The Farrell-Jones and the Baum-Connes Conjecture say that one can compute the algebraic K- and L-theory of the group ring and the topological K-theory of the reduced group C*-algebra of a group G in terms of these functors for the virtually cyclic subgroups or the finite subgroups of G. By induction theory we want to reduce these families of subgroups to a smaller family, for instance to the family of subgroups which are either finite hyperelementary or extensions of finite hyperelementary groups with ℤ as kernel or to the family of finite cyclic subgroups. Roughly speaking, we extend the induction theorems of Dress for finite groups to infinite groups.

(Communicated by Andrew Ranicki)

Received: 2004-10-07
Revised: 2005-08-29
Published Online: 2007-06-14
Published in Print: 2007-05-23

© Walter de Gruyter

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