Title: The isomorphism
conjecture for groups with generalized free product structure
Abstract: In this article we study the K- and L-theory
of groups acting on trees. We consider
the problem in the context of the fibered isomorphism conjecture of
Farrell and Jones.
We show that in the class of residually finite
groups it is enough to prove the conjecture
for finitely presented groups with one end. Also, we deduce that the conjecture is
true for the fundamental groups of graphs of finite groups and of trees of virtually
cyclic groups. To motivate the reader we include a
survey on some classical works on this subject.
for the full article.
Updated October 25, 2014