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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dc.contributor.author	Paycha, S.
dc.date.accessioned	2019-02-09T19:42:27Z
dc.date.available	2019-02-09T19:42:27Z
dc.date.issued	2010
dc.identifier.citation	A Canonical Trace Associated with Certain Spectral Triples / S. Paycha // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 23 назв. — англ.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 58B34; 58J42; 47B47
dc.identifier.other	DOI:10.3842/SIGMA.2010.077
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/146515
dc.description.abstract	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.	uk_UA
dc.description.sponsorship	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.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	A Canonical Trace Associated with Certain Spectral Triples	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA