Twisted Cyclic Cohomology and Modular Fredholm Modules

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dc.contributor.authorRennie, A.
dc.contributor.authorSitarz, A.
dc.contributor.authorYamashita, M.
dc.date.accessioned2019-02-21T07:05:19Z
dc.date.available2019-02-21T07:05:19Z
dc.date.issued2013
dc.description.abstractConnes and Cuntz showed in [Comm. Math. Phys. 114 (1988), 515-526] that suitable cyclic cocycles can be represented as Chern characters of finitely summable semifinite Fredholm modules. We show an analogous result in twisted cyclic cohomology using Chern characters of modular Fredholm modules. We present examples of modular Fredholm modules arising from Podleś spheres and from SUq(2).uk_UA
dc.description.sponsorshipAR was supported by the Australian Research Council, and thanks Jens Kaad for numerous discussions on related topics. MY was supported in part by the ERC Advanced Grant 227458 OACFT “Operator Algebras and Conformal Field Theory”. AS acknowledges support of MNII grant 189/6.PRUE/2007/7 and thanks for the warm hospitality at Mathematical Sciences Institute, Australian National University, Canberra.uk_UA
dc.identifier.citationTwisted Cyclic Cohomology and Modular Fredholm Modules / A. Rennie, A. Sitarz, M. Yamashita // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 21 назв. — англ.uk_UA
dc.identifier.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 58J42; 58B32; 46L87
dc.identifier.otherDOI: http://dx.doi.org/10.3842/SIGMA.2013.051
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/149344
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleTwisted Cyclic Cohomology and Modular Fredholm Modulesuk_UA
dc.typeArticleuk_UA

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Symmetry, Integrability and Geometry: Methods and Applications, 2013, том 9, випуск за цей рік