%0 Journal Article %T Group actions on geodesic Ptolemy spaces %A Thomas Foertsch %A Viktor Schroeder %J Mathematics %D 2008 %I arXiv %X In this paper we study geodesic Ptolemy metric spaces $X$ which allow proper and cocompact isometric actions of crystallographic or, more generally, virtual polycyclic groups. We show that $X$ is equivariantly rough isometric to a Euclidean space. %U http://arxiv.org/abs/0812.0672v1