Groups acting on CAT(0) cube complexes
Niblo, Graham; Reeves, Lawrence;
- Publisher: MSP
- Journal: issn: 1465-3060
Related identifiers: - Subject: 20F32 | 20G20 | Kazhdan's property (T) | 20E42 | hyperbolic geometry | 20F32, 20E42, 20G20 | CAT(0) cube complexes | locally CAT(-1) spaces | Mathematics - Group Theory | $Sp(n,1)$–manifolds | Tits' buildings | Mathematics - Differential Geometry
We show that groups satisfying Kazhdan’s property [math] have no unbounded actions on finite dimensional [math] cube complexes, and deduce that there is a locally [math] Riemannian manifold which is not homotopy equivalent to any finite dimensional, locally [math] cube ... View more
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