Non-commutative correspondences, duality and D-branes in bivariant K-theory
Date
2009
Authors
Brodzki, J.
Varghese, M.
Rosenberg, J.
Szabo, R.
Editors
Advisors
Journal Title
Journal ISSN
Volume Title
Type:
Journal article
Citation
Advances in Theoretical and Mathematical Physics, 2009; 13(2):497-552
Statement of Responsibility
Jacek Brodzki, Varghese Mathai, Jonathan Rosenberg, and Richard J. Szabo
Conference Name
Abstract
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 12. We explicitly work out our theory for a number of examples of noncommutative manifolds. © 2009 International Press.