Property (T) for groups acting on simplicial complexes through taking an “average” of Laplacian eigenvalues

Oppenheim, Izhar

doi:10.4171/GGD/336

Groups, Geometry, and Dynamics

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Volume 9, Issue 4, 2015, pp. 1131–1152

DOI: 10.4171/GGD/336

Published online: 2015-11-16

Property (T) for groups acting on simplicial complexes through taking an “average” of Laplacian eigenvalues

Izhar Oppenheim^[1]

(1) Ben Gurion University of the Negev, Beer Sheva, Israel

is article generalizes the Żuk’s criterion for property (T) and gives new criteria for property (T) (and for vanishing of higher $L^2$-cohomologies).

Keywords: Property (T), cohomology, simplicial complex, Laplacian

Oppenheim Izhar: Property (T) for groups acting on simplicial complexes through taking an “average” of Laplacian eigenvalues. Groups Geom. Dyn. 9 (2015), 1131-1152. doi: 10.4171/GGD/336