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Kazhdan’s property (T) for groups acting on polyhedra. (La propriété (T) de Kazhdan pour les groupes agissant sur les polyèdres.) (French. Abridged English version) Zbl 0858.22007

Summary: Let \(X\) be a two dimensional finite simplicial complex. We give a condition \(X\) so that the fundamental group of \(X\) has property (T). This condition is satisfied by Euclidean Tits buildings.

MSC:

22D10 Unitary representations of locally compact groups
57T10 Homology and cohomology of Lie groups
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