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

Izhar Oppenheim

doi:10.4171/ggd/336

JournalsggdVol. 9, No. 4pp. 1131–1152

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

Izhar Oppenheim
Ben Gurion University of the Negev, Beer Sheva, Israel
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Abstract

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).

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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. 1131–1152

DOI 10.4171/GGD/336