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dc.contributor.authorGoffeng, Magnus
dc.contributor.authorMesland, Bram
dc.date.accessioned2014-05-13T12:00:00Z
dc.date.accessioned2016-10-05T14:13:57Z
dc.date.available2014-05-13T12:00:00Z
dc.date.available2016-10-05T14:13:57Z
dc.date.issued2014-05-13
dc.identifier.urihttp://publications.mfo.de/handle/mfo/1075
dc.descriptionResearch in Pairs 2013en_US
dc.description.abstractWe produce a variety of odd bounded Fredholm modules and odd spectral triples on Cuntz-Krieger algebras by means of realizing these algebras as "the algebra of functions on a non-commutative space" coming from a sub shift of finite type. We show that any odd $K$-homology class can be represented by such an odd bounded Fredholm module or odd spectral triple. The odd bounded Fredholm modules that are constructed are finitely summable. The spectral triples are $\theta$-summable, although their phases will already on the level of analytic $K$-cycles be finitely summable bounded Fredholm modules. Using the unbounded Kasparov product, we exhibit a family of generalized spectral triples, related to work of Bellissard-Pearson, possessing mildly unbounded commutators, whilst still giving well defined $K$-homology classes.en_US
dc.language.isoenen_US
dc.publisherMathematisches Forschungsinstitut Oberwolfachen_US
dc.relation.ispartofseriesOberwolfach Preprints;2014,03
dc.titleSpectral triples and finite summability on Cuntz-Krieger algebrasen_US
dc.typePreprinten_US
dc.rights.licenseDieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.de
dc.rights.licenseThis document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.en
dc.identifier.doi10.14760/OWP-2014-03
local.scientificprogramResearch in Pairs 2013
local.series.idOWP-2014-03
dc.identifier.urnurn:nbn:de:101:1-201405125241
dc.identifier.ppn1656147734


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