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A Canonical Trace Associated with Certain Spectral Triples
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2010, том 6
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A Canonical Trace Associated with Certain Spectral Triples
Інший ID:
2010 Mathematics Subject Classification: 58B34; 58J42; 47B47
DOI:10.3842/SIGMA.2010.077
DOI:10.3842/SIGMA.2010.077
Посилання:
A Canonical Trace Associated with Certain Spectral Triples / S. Paycha // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 23 назв. — англ.
Підтримка:
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.
Дата:
2010
Переглядів:
681
Завантажень:
283
Анотація:
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.
