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Twisted cyclic cohomology and modular Fredholm modules
Journal
Symmetry, Integrability and Geometry. Methods and Applications
Author
Rennie Adam
Sitarz Andrzej
Yamashita Makoto
Volume
9
Article ID
051
eISSN
1815-0659
Keywords in English
twisted cyclic cohomology
spectral triple
modular theory
KMS weight
Language
English
Container language
English
Abstract in English
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 SU_{q}(2).
Affiliation
Wydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki im. Mariana Smoluchowskiego
Scopus© citations
1
| cris.lastimport.scopus | 2024-04-24T06:17:37Z | |
| cris.lastimport.wos | 2024-04-10T02:04:12Z | |
| dc.abstract.en | 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 SU_{q}(2). | pl |
| dc.affiliation | Wydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki im. Mariana Smoluchowskiego | pl |
| dc.contributor.author | Rennie, Adam | pl |
| dc.contributor.author | Sitarz, Andrzej - 100147 | pl |
| dc.contributor.author | Yamashita, Makoto | pl |
| dc.date.accessioned | 2015-06-23T09:26:11Z | |
| dc.date.available | 2015-06-23T09:26:11Z | |
| dc.date.issued | 2013 | pl |
| dc.date.openaccess | 0 | |
| dc.description.accesstime | w momencie opublikowania | |
| dc.description.publication | 1 | pl |
| dc.description.version | ostateczna wersja wydawcy | |
| dc.description.volume | 9 | pl |
| dc.identifier.articleid | 051 | pl |
| dc.identifier.doi | 10.3842/SIGMA.2013.051 | pl |
| dc.identifier.eissn | 1815-0659 | pl |
| dc.identifier.uri | http://ruj.uj.edu.pl/xmlui/handle/item/10072 | |
| dc.language | eng | pl |
| dc.language.container | eng | pl |
| dc.rights | Dodaję tylko opis bibliograficzny | * |
| dc.rights.licence | CC-BY-NC-SA | |
| dc.rights.uri | * | |
| dc.share.type | otwarte czasopismo | |
| dc.subject.en | twisted cyclic cohomology | pl |
| dc.subject.en | spectral triple | pl |
| dc.subject.en | modular theory | pl |
| dc.subject.en | KMS weight | pl |
| dc.subtype | Article | pl |
| dc.title | Twisted cyclic cohomology and modular Fredholm modules | pl |
| dc.title.journal | Symmetry, Integrability and Geometry. Methods and Applications | pl |
| dc.type | JournalArticle | pl |
| dspace.entity.type | Publication |
Affiliations
Wydział Fizyki, Astronomii i Informatyki Stosowanej
Sitarz, Andrzej
No affiliation
Rennie, Adam
Yamashita, Makoto