A Canonical Trace Associated with Certain Spectral Triples

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dc.contributor.authorPaycha, S.
dc.date.accessioned2019-02-09T19:42:27Z
dc.date.available2019-02-09T19:42:27Z
dc.date.issued2010
dc.description.abstractIn 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.sponsorshipThis 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.identifier.citationA 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.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 58B34; 58J42; 47B47
dc.identifier.otherDOI:10.3842/SIGMA.2010.077
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/146515
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleA Canonical Trace Associated with Certain Spectral Triplesuk_UA
dc.typeArticleuk_UA

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Symmetry, Integrability and Geometry: Methods and Applications, 2010, том 6, випуск за цей рік