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https://hdl.handle.net/2440/54077
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Type: | Journal article |
Title: | Non-commutative correspondences, duality and D-branes in bivariant K-theory |
Author: | Brodzki, J. Varghese, M. Rosenberg, J. Szabo, R. |
Citation: | Advances in Theoretical and Mathematical Physics, 2009; 13(2):497-552 |
Publisher: | International Press |
Issue Date: | 2009 |
ISSN: | 1095-0761 1095-0753 |
Statement of Responsibility: | Jacek Brodzki, Varghese Mathai, Jonathan Rosenberg, and Richard J. Szabo |
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. |
DOI: | 10.4310/ATMP.2009.v13.n2.a4 |
Published version: | http://www.intlpress.com/ATMP/ATMP-issue_13_2.php |
Appears in Collections: | Aurora harvest Mathematical Sciences publications |
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