The isomorphism conjecture in L-theory: graphs of groups
K-Theory and Homology
2012-04-30 v3 Geometric Topology
Abstract
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].
Keywords
Cite
@article{arxiv.0709.4592,
title = {The isomorphism conjecture in L-theory: graphs of groups},
author = {S. K. Roushon},
journal= {arXiv preprint arXiv:0709.4592},
year = {2012}
}
Comments
20 pages. AMSLATEX file, updated and revised incorporating referee's suggestions and simplified notations