is article generalizes the Żuk’s criterion for property (T) and gives new criteria for property (T) (and for vanishing of higher -cohomologies).
Cite this article
Izhar Oppenheim, Property (T) for groups acting on simplicial complexes through taking an “average” of Laplacian eigenvalues. Groups Geom. Dyn. 9 (2015), no. 4, pp. 1131–1152DOI 10.4171/GGD/336