%0 Journal Article %T Random groups have fixed points on CAT(0) cube complexes %A Koji Fujiwara %A Tetsu Toyoda %J Mathematics %D 2010 %I arXiv %X We prove that a random group has fixed points when it isometrically acts on a CAT(0) cube complex. We do not assume that the action is simplicial. %U http://arxiv.org/abs/1012.4147v1