Let be a right-angled building. We show that the lattices in share many properties with tree lattices. For example, we characterise the set of covolumes of uniform and of nonuniform lattices in , and show that the group admits an infinite ascending tower of uniform and of nonuniform lattices. These results are proved by constructing a functor from graphs of groups to complexes of groups.
"Lattices acting on right-angled buildings." Algebr. Geom. Topol. 6 (3) 1215 - 1238, 2006. https://doi.org/10.2140/agt.2006.6.1215