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

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

2007-08-20

arxiv.org/abs/0708.2648v1

Adv.Theor.Math.Phys.13:497-552,2009

Physics

High Energy Physics

High Energy Physics - Theory

36 pages

Scientific paper

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.

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