Twisted Cyclic Cohomology and Modular Fredholm Modules
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 pr...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2013 |
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| Sprache: | Englisch |
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Інститут математики НАН України
2013
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/149344 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862620762614005760 |
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| author | Rennie, A. Sitarz, A. Yamashita, M. |
| author_facet | Rennie, A. Sitarz, A. Yamashita, M. |
| citation_txt | 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | 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).
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| first_indexed | 2025-12-07T13:22:30Z |
| format | Article |
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| id | nasplib_isofts_kiev_ua-123456789-149344 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T13:22:30Z |
| publishDate | 2013 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Rennie, A. Sitarz, A. Yamashita, M. 2019-02-21T07:05:19Z 2019-02-21T07:05:19Z 2013 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. 1815-0659 2010 Mathematics Subject Classification: 58J42; 58B32; 46L87 DOI: http://dx.doi.org/10.3842/SIGMA.2013.051 https://nasplib.isofts.kiev.ua/handle/123456789/149344 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). 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. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Twisted Cyclic Cohomology and Modular Fredholm Modules Article published earlier |
| spellingShingle | Twisted Cyclic Cohomology and Modular Fredholm Modules Rennie, A. Sitarz, A. Yamashita, M. |
| title | Twisted Cyclic Cohomology and Modular Fredholm Modules |
| title_full | Twisted Cyclic Cohomology and Modular Fredholm Modules |
| title_fullStr | Twisted Cyclic Cohomology and Modular Fredholm Modules |
| title_full_unstemmed | Twisted Cyclic Cohomology and Modular Fredholm Modules |
| title_short | Twisted Cyclic Cohomology and Modular Fredholm Modules |
| title_sort | twisted cyclic cohomology and modular fredholm modules |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/149344 |
| work_keys_str_mv | AT renniea twistedcycliccohomologyandmodularfredholmmodules AT sitarza twistedcycliccohomologyandmodularfredholmmodules AT yamashitam twistedcycliccohomologyandmodularfredholmmodules |