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Non-commutative correspondences, duality and D-branes in bivariant K-theory

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dc.contributor.authorBrodzki, J.
dc.contributor.authorVarghese, M.
dc.contributor.authorRosenberg, J.
dc.contributor.authorSzabo, R.
dc.date.issued2009
dc.description.abstractWe 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.
dc.description.statementofresponsibilityJacek Brodzki, Varghese Mathai, Jonathan Rosenberg, and Richard J. Szabo
dc.identifier.citationAdvances in Theoretical and Mathematical Physics, 2009; 13(2):497-552
dc.identifier.doi10.4310/ATMP.2009.v13.n2.a4
dc.identifier.issn1095-0761
dc.identifier.issn1095-0753
dc.identifier.orcidVarghese, M. [0000-0002-1100-3595]
dc.identifier.urihttp://hdl.handle.net/2440/54077
dc.language.isoen
dc.publisherInternational Press
dc.source.urihttp://www.intlpress.com/ATMP/ATMP-issue_13_2.php
dc.titleNon-commutative correspondences, duality and D-branes in bivariant K-theory
dc.typeJournal article
pubs.publication-statusPublished

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