We describe a categorical framework for the classification of D-branes on non-commutative spaces using techniques from bivariant K-theory of C!-algebras. We present a new description of bivariant K-theory in terms of non-commutative correspondences which is nicely adapted to the study of T-duality in open string theory. We systematically use the diagram calculus for bivariant K-theory as detailed in our previous paper . We explicitly work out our theory for a number of examples of noncommutative<br/>manifolds
To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.