A Canonical Trace Associated with Certain Spectral Triples
In the abstract pseudodifferential setup of Connes and Moscovici, we prove a general formula for the discrepancies of zeta-regularised traces associated with certain spectral triples, and we introduce a canonical trace on operators, whose order lies outside (minus) the dimension spectrum of the spec...
Збережено в:
| Дата: | 2010 |
|---|---|
| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2010
|
| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/146515 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | A Canonical Trace Associated with Certain Spectral Triples / S. Paycha // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 23 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-146515 |
|---|---|
| record_format |
dspace |
| spelling |
irk-123456789-1465152019-02-10T01:24:39Z A Canonical Trace Associated with Certain Spectral Triples Paycha, S. In the abstract pseudodifferential setup of Connes and Moscovici, we prove a general formula for the discrepancies of zeta-regularised traces associated with certain spectral triples, and we introduce a canonical trace on operators, whose order lies outside (minus) the dimension spectrum of the spectral triple. 2010 Article A Canonical Trace Associated with Certain Spectral Triples / S. Paycha // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 23 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 58B34; 58J42; 47B47 DOI:10.3842/SIGMA.2010.077 http://dspace.nbuv.gov.ua/handle/123456789/146515 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 |
In the abstract pseudodifferential setup of Connes and Moscovici, we prove a general formula for the discrepancies of zeta-regularised traces associated with certain spectral triples, and we introduce a canonical trace on operators, whose order lies outside (minus) the dimension spectrum of the spectral triple. |
| format |
Article |
| author |
Paycha, S. |
| spellingShingle |
Paycha, S. A Canonical Trace Associated with Certain Spectral Triples Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Paycha, S. |
| author_sort |
Paycha, S. |
| title |
A Canonical Trace Associated with Certain Spectral Triples |
| title_short |
A Canonical Trace Associated with Certain Spectral Triples |
| title_full |
A Canonical Trace Associated with Certain Spectral Triples |
| title_fullStr |
A Canonical Trace Associated with Certain Spectral Triples |
| title_full_unstemmed |
A Canonical Trace Associated with Certain Spectral Triples |
| title_sort |
canonical trace associated with certain spectral triples |
| publisher |
Інститут математики НАН України |
| publishDate |
2010 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/146515 |
| citation_txt |
A Canonical Trace Associated with Certain Spectral Triples / S. Paycha // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 23 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT paychas acanonicaltraceassociatedwithcertainspectraltriples AT paychas canonicaltraceassociatedwithcertainspectraltriples |
| first_indexed |
2023-05-20T17:24:58Z |
| last_indexed |
2023-05-20T17:24:58Z |
| _version_ |
1796153238441951232 |