%0 Journal Article %T Non connective K-theory via universal invariants %A Denis-Charles Cisinski %A Goncalo Tabuada %J Mathematics %D 2009 %I arXiv %R 10.1112/S0010437X11005380 %X In this article, we further the study of higher K-theory of dg categories via universal invariants, initiated by the second named author. Our main result is the co-representability of non-connective K-theory by the base ring in the universal localizing motivator. As an application, we obtain for free higher Chern characters, resp. higher trace maps, e.g. from non-connective K-theory to cyclic homology, resp. to topological Hochschild homology. %U http://arxiv.org/abs/0903.3717v2