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Twisted Cyclic Cohomology and Modular Fredholm Modules
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- Symmetry, Integrability and Geometry: Methods and Applications, 2013, том 9
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| dc.contributor.author | Rennie, A. | |
| dc.contributor.author | Sitarz, A. | |
| dc.contributor.author | Yamashita, M. | |
| dc.date.accessioned | 2019-02-21T07:05:19Z | |
| dc.date.available | 2019-02-21T07:05:19Z | |
| dc.date.issued | 2013 | |
| dc.identifier.citation | Twisted 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.issn | 1815-0659 | |
| dc.identifier.other | 2010 Mathematics Subject Classification: 58J42; 58B32; 46L87 | |
| dc.identifier.other | DOI: http://dx.doi.org/10.3842/SIGMA.2013.051 | |
| dc.identifier.uri | http://dspace.nbuv.gov.ua/handle/123456789/149344 | |
| dc.description.abstract | Connes 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.sponsorship | AR 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.language.iso | en | uk_UA |
| dc.publisher | Інститут математики НАН України | uk_UA |
| dc.relation.ispartof | Symmetry, Integrability and Geometry: Methods and Applications | |
| dc.title | Twisted Cyclic Cohomology and Modular Fredholm Modules | uk_UA |
| dc.type | Article | uk_UA |
| dc.status | published earlier | uk_UA |
