Groups acting on CAT(0) cube complexes

Niblo, Graham A; Reeves, Lawrence

doi:10.2140/gt.1997.1.1

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Groups acting on CAT(0) cube complexes

Niblo, Graham A ¹ ; Reeves, Lawrence ²

¹ Faculty of Mathematical Studies, University of Southampton, Highfield, Southampton, SO17 1BJ, United Kingdom
² Institute of Mathematics, Hebrew University of Jerusalem, Givat Ram, Jerusalem 91904, Israel

Geometry & topology, Tome 1 (1997) no. 1, pp. 1-7.

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

Résumé

We show that groups satisfying Kazhdan’s property $(T)$ have no unbounded actions on finite dimensional $CAT (0)$ cube complexes, and deduce that there is a locally $CAT (- 1)$ Riemannian manifold which is not homotopy equivalent to any finite dimensional, locally $CAT (0)$ cube complex.

DOI : 10.2140/gt.1997.1.1

Keywords: Kazhdan's property (T), Tits' buildings, hyperbolic geometry, CAT(0) cube complexes, locally CAT(-1) spaces, $Sp(n,1)$–manifolds

Affiliations des auteurs :

Niblo, Graham A ¹ ; Reeves, Lawrence ²

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Niblo, Graham A; Reeves, Lawrence. Groups acting on CAT(0) cube complexes. Geometry & topology, Tome 1 (1997) no. 1, pp. 1-7. doi : 10.2140/gt.1997.1.1. http://geodesic.mathdoc.fr/articles/10.2140/gt.1997.1.1/

Bibliographie
Cité par

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