Abstract
We show that groups satisfying Kazhdan’s property have no unbounded actions on finite dimensional cube complexes, and deduce that there is a locally Riemannian manifold which is not homotopy equivalent to any finite dimensional, locally cube complex.
Citation
Graham A Niblo. Lawrence Reeves. "Groups acting on CAT(0) cube complexes." Geom. Topol. 1 (1) 1 - 7, 1997. https://doi.org/10.2140/gt.1997.1.1
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