Noncommutative correspondences, duality and D-branes in bivariant K-theory

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Brodzki, Jacek
Mathai, Varghese
Rosenberg, Jonathan
Szabo, Richard J.
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Abstract
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We describe a categorical framework for the classification of D-branes on noncommutative spaces using techniques from bivariant K-theory of C*-algebras. We present a new description of bivariant K-theory in terms of noncommutative 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 manifolds.
Comment: 36 pages
Keywords
High Energy Physics - Theory, Mathematics - K-Theory and Homology
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