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The K-Theoretic Bulk-Edge Correspondence for Topological Insulators

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dc.contributor.authorBourne, Chris
dc.contributor.authorKellendonk, Johannes
dc.contributor.authorRennie, Adam
dc.date.accessioned2021-09-29T23:42:48Z
dc.date.issued2017
dc.date.updated2020-11-23T11:18:00Z
dc.description.abstractWe study the application of Kasparov theory to topological insulator systems and the bulk–edge correspondence. We consider observable algebras as modelled by crossed products, where bulk and edge systems may be linked by a short exact sequence. We construct unbounded Kasparov modules encoding the dynamics of the crossed product. We then link bulk and edge Kasparov modules using the Kasparov product. Because of the anti-linear symmetries that occur in topological insulator models, real C*-algebras and KKO-theory must be useden_AU
dc.description.sponsorshipAll authors thank the Hausdorff Research Institute for Mathematics for support. CB and AR thank Alan Carey, Magnus Goffeng, and Guo Chuan Thiang for useful discussions. CB and AR acknowledge the support of the Australian Research Council.en_AU
dc.format.mimetypeapplication/pdfen_AU
dc.identifier.issn1424-0637en_AU
dc.identifier.urihttp://hdl.handle.net/1885/248939
dc.language.isoen_AUen_AU
dc.provenancehttps://v2.sherpa.ac.uk/id/publication/27960..."The Accepted Version can be archived in an Institutional Repository" from SHERPA/RoMEO site (as at 1/10/2021).
dc.publisherBirkhauser Verlagen_AU
dc.rights© 2017 Springer International Publishingen_AU
dc.sourceAnnales Henri Poincareen_AU
dc.titleThe K-Theoretic Bulk-Edge Correspondence for Topological Insulatorsen_AU
dc.typeJournal articleen_AU
dcterms.accessRightsOpen Access
local.bibliographicCitation.issue5en_AU
local.contributor.affiliationBourne, Christopher, College of Science, ANUen_AU
local.contributor.affiliationKellendonk, Johannes, Université de Lyonen_AU
local.contributor.affiliationRennie, Adam, University of Wollongongen_AU
local.contributor.authoruidBourne, Christopher, u4979338en_AU
local.description.notesImported from ARIESen_AU
local.identifier.absfor080302 - Computer System Architectureen_AU
local.identifier.ariespublicationa383154xPUB6124en_AU
local.identifier.citationvolume18en_AU
local.identifier.doi10.1007/s00023-016-0541-2en_AU
local.identifier.scopusID2-s2.0-85008144275
local.identifier.thomsonID000399702400010
local.publisher.urlhttps://link.springer.com/en_AU
local.type.statusAccepted Versionen_AU

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