Symmetry, Integrability and Geometry: Methods and Applications
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


SIGMA:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Symmetry, Integrability and Geometry: Methods and Applications, 2020, Volume 16, 061, 31 pp.
DOI: https://doi.org/10.3842/SIGMA.2020.061 (Mi sigma1598) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Noncommutative Residue and Canonical Trace on Noncommutative Tori. Uniqueness Results

Raphaël Ponge

School of Mathematics, Sichuan University, Chengdu, China
Full-text PDF (567 kB) Citations (2)
References:
PDF
HTML
DOI: https://doi.org/10.3842/SIGMA.2020.061
Abstract: In this paper we establish uniqueness theorems for the noncommutative residue and the canonical trace on pseudodifferential operators on noncommutative tori of arbitrary dimension. The former is the unique trace up to constant multiple on integer order pseudodifferential operators.The latter is the unique trace up to constant multiple on non-integer order pseudodifferential operators. This improves previous uniqueness results by Fathizadeh–Khalkhali, Fathizadeh–Wong, and Lévy–Neira–Paycha.
Keywords: noncommutative residue, canonical trace, noncommutative tori, pseudodifferential operators.
Funding agency Grant number
National Natural Science Foundation of China 11971328
The research for this article was partially supported by the NSFC under Grant No. 11971328 (China).
Received: January 9, 2020; in final form June 15, 2020; Published online July 5, 2020
Bibliographic databases:
Document Type: Article
MSC: 58J42, 58B34, 58J40
Language: English
Citation: Raphaël Ponge, “Noncommutative Residue and Canonical Trace on Noncommutative Tori. Uniqueness Results”, SIGMA, 16 (2020), 061, 31 pp.
Citation in format AMSBIB
\Bibitem{Pon20}
\by Rapha\"el~Ponge
\paper Noncommutative Residue and Canonical Trace on Noncommutative Tori. Uniqueness Results
\jour SIGMA
\yr 2020
\vol 16
\papernumber 061
\totalpages 31
\mathnet{http://mi.mathnet.ru/sigma1598}
\crossref{https://doi.org/10.3842/SIGMA.2020.061}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000545962000001}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85090643954}
Linking options:
  • https://www.mathnet.ru/eng/sigma1598
  • https://www.mathnet.ru/eng/sigma/v16/p61
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Symmetry, Integrability and Geometry: Methods and Applications
    Statistics & downloads:
    Abstract page:84
    Full-text PDF :29
    References:24
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024