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...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2010 |
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| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2010
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/146515 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | A Canonical Trace Associated with Certain Spectral Triples / S. Paycha // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 23 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862535177416212480 |
|---|---|
| author | Paycha, S. |
| author_facet | Paycha, S. |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
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| first_indexed | 2025-11-24T09:17:04Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-146515 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-24T09:17:04Z |
| publishDate | 2010 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Paycha, S. 2019-02-09T19:42:27Z 2019-02-09T19:42:27Z 2010 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 https://nasplib.isofts.kiev.ua/handle/123456789/146515 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. This paper is a contribution to the Special Issue “Noncommutative Spaces and Fields”. The full collection is available at http://www.emis.de/journals/SIGMA/noncommutative.html.
 I thank the Australian National University in Canberra for its hospitality during a ten days stay, when this work was initiated and Bai Ling Wang for inviting me there, as well as for stimulating workshops he organised and the lively discussions that followed. I am grateful to Alan Carey for helping organise my stay and I thank him and Adam Rennie most warmly for various informal discussions we had during my stay, which triggered this work. I would also like to acknowledge the referees’ substantial help in improving of this paper. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications A Canonical Trace Associated with Certain Spectral Triples Article published earlier |
| spellingShingle | A Canonical Trace Associated with Certain Spectral Triples Paycha, S. |
| title | 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_short | A Canonical Trace Associated with Certain Spectral Triples |
| title_sort | canonical trace associated with certain spectral triples |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146515 |
| work_keys_str_mv | AT paychas acanonicaltraceassociatedwithcertainspectraltriples AT paychas canonicaltraceassociatedwithcertainspectraltriples |