Arthur Bartels, Wolfgang Lck
Induction Theorems and Isomorphism Conjectures for K- and L-Theory
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.
Forum Mathematicum, Walter de Gruyter
Print ISSN: 0933-7741
Volume: 19, 05/2007
Pages: 379 - 406
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