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, 2012, Volume 8, 091, 12 pp.
DOI: https://doi.org/10.3842/SIGMA.2012.091 (Mi sigma768) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Covariant Fields of $C^*$-Algebras under Rieffel Deformation

Fabian Belmontea, Marius Măntoiub

a 728, building A, SISSA-ISAS, Via Bonomea 265, 34136 Trieste, Italy
b Departamento de Matemáticas, Universidad de Chile, Las Palmeras 3425, Casilla 653, Santiago, Chile
Full-text PDF (397 kB) Citations (2)
References:
PDF
HTML
DOI: https://doi.org/10.3842/SIGMA.2012.091
Abstract: We show that Rieffel's deformation sends covariant $\mathcal{C}(T)$-algebras into $\mathcal{C}(T)$-algebras. We also treat the lower semi-continuity issue, proving that Rieffel's deformation transforms covariant continuous fields of $C^*$-algebras into continuous fields of $C^*$-algebras. Some examples are indicated, including certain quantum groups.
Keywords: pseudodifferential operator; Rieffel deformation; $C^*$-algebra; continuous field; noncommutative dynamical system.
Received: August 26, 2012; in final form November 22, 2012; Published online November 28, 2012
Bibliographic databases:
Document Type: Article
MSC: 35S05; 81Q10; 46L55; 47C15
Language: English
Citation: Fabian Belmonte, Marius Măntoiu, “Covariant Fields of $C^*$-Algebras under Rieffel Deformation”, SIGMA, 8 (2012), 091, 12 pp.
Citation in format AMSBIB
\Bibitem{BelMan12}
\by Fabian~Belmonte, Marius~M{\u a}ntoiu
\paper Covariant Fields of $C^*$-Algebras under Rieffel Deformation
\jour SIGMA
\yr 2012
\vol 8
\papernumber 091
\totalpages 12
\mathnet{http://mi.mathnet.ru/sigma768}
\crossref{https://doi.org/10.3842/SIGMA.2012.091}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3007268}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000312436100001}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84870338397}
Linking options:
  • https://www.mathnet.ru/eng/sigma768
  • https://www.mathnet.ru/eng/sigma/v8/p91
    • 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:242
    Full-text PDF :36
    References:53
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024