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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| Дата: | 2013 |
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| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
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Інститут математики НАН України
2013
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/149344 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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irk-123456789-1493442019-02-22T01:24:14Z Twisted Cyclic Cohomology and Modular Fredholm Modules Rennie, A. Sitarz, A. Yamashita, M. 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). 2013 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/149344 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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). |
| format |
Article |
| author |
Rennie, A. Sitarz, A. Yamashita, M. |
| spellingShingle |
Rennie, A. Sitarz, A. Yamashita, M. Twisted Cyclic Cohomology and Modular Fredholm Modules Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Rennie, A. Sitarz, A. Yamashita, M. |
| author_sort |
Rennie, A. |
| title |
Twisted Cyclic Cohomology and Modular Fredholm Modules |
| title_short |
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_sort |
twisted cyclic cohomology and modular fredholm modules |
| publisher |
Інститут математики НАН України |
| publishDate |
2013 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/149344 |
| 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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT renniea twistedcycliccohomologyandmodularfredholmmodules AT sitarza twistedcycliccohomologyandmodularfredholmmodules AT yamashitam twistedcycliccohomologyandmodularfredholmmodules |
| first_indexed |
2023-05-20T17:32:46Z |
| last_indexed |
2023-05-20T17:32:46Z |
| _version_ |
1796153535114510336 |