%0 Journal Article %T Morita equivalence and characteristic classes of star products %A H. Bursztyn %A V. Dolgushev %A S. Waldmann %J Mathematics %D 2009 %I arXiv %X This paper deals with two aspects of the theory of characteristic classes of star products: first, on an arbitrary Poisson manifold, we describe Morita equivalent star products in terms of their Kontsevich classes; second, on symplectic manifolds, we describe the relationship between Kontsevich's and Fedosov's characteristic classes of star products. %U http://arxiv.org/abs/0909.4259v1