1997/02/07 by Graham A. Niblo, Lawrence Reeves · 1 citation
Mathematics · #math.GR #math.DG #msc:20F32 #msc:20E42 #msc:20G20
paper · pdf · doi:10.2140/gt.1997.1.1
published as Geom. Topol. 1 (1997) 1-7 · 7 pages. Published copy, also available at http://www.maths.warwick.ac.uk/gt/GTVol1/paper1.abs.html
arxiv created 1997/02/07 · arxiv updated 2014/11/11
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.