The isomorphism conjecture in L-theory: graphs of groups

Details The isomorphism conjecture in L-theory: graphs of groups The isomorphism conjecture in L-theory: graphs of groups

2007-09-28

arxiv.org/abs/0709.4592v3

Mathematics

K-Theory and Homology

20 pages. AMSLATEX file, updated and revised incorporating referee's suggestions and simplified notations

Scientific paper

We study the Fibered Isomorphism Conjecture of Farrell and Jones in L-theory
for groups acting on trees. In several cases we prove the conjecture. This
includes wreath products of abelian groups and free metabelian groups. We also
deduce the conjecture in pseudoisotopy theory for these groups. Finally in B of
Theorem 1.1 we prove the L-theory version of [[7], Theorem 1.2].

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