We show that the Farrell–Jones conjecture holds for fundamental groups of graphs of groups with abelian vertex groups. As a special case, this shows that the conjecture holds for generalized Baumslag–Solitar groups.
Cite this article
Giovanni Gandini, Sebastian Meinert, Henrik Rüping, The Farrell–Jones conjecture for fundamental groups of graphs of abelian groups. Groups Geom. Dyn. 9 (2015), no. 3, pp. 783–792