## 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.

### MathOverflow Questions:

Kazhdan’s property (T) for $$\tilde{C}_2$$-lattices

### MSC:

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