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Symmetry, Integrability and Geometry: Methods and Applications, 2010, Volume 6, 077, 17 pp.
DOI: https://doi.org/10.3842/SIGMA.2010.077 (Mi sigma535) 		 
This article is cited in 4 scientific papers (total in 4 papers)

A Canonical Trace Associated with Certain Spectral Triples

Sylvie Paycha

Laboratoire de Mathématiques, 63177 Aubière Cedex, France
Full-text PDF (291 kB) Citations (4)
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DOI: https://doi.org/10.3842/SIGMA.2010.077
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.
Keywords: spectral triples; zeta regularisation; noncommutative residue; discrepancies.
Received: March 11, 2010; in final form September 13, 2010; Published online September 29, 2010
Bibliographic databases:
Document Type: Article
MSC: 58B34; 58J42; 47B47
Language: English
Citation: Sylvie Paycha, “A Canonical Trace Associated with Certain Spectral Triples”, SIGMA, 6 (2010), 077, 17 pp.
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
     
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