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, 2017, Volume 13, 041, 12 pp.
DOI: https://doi.org/10.3842/SIGMA.2017.041
(Mi sigma1241)
 

This article is cited in 5 scientific papers (total in 5 papers)

Non-Commutative Vector Bundles for Non-Unital Algebras

Adam Rennie, Aidan Sims

School of Mathematics and Applied Statistics, University of Wollongong, Northfields Ave 2522, Australia
Full-text PDF (346 kB) Citations (5)
References:
Abstract: We revisit the characterisation of modules over non-unital $C^*$-algebras analogous to modules of sections of vector bundles. A fullness condition on the associated multiplier module characterises a class of modules which closely mirror the commutative case. We also investigate the multiplier-module construction in the context of bi-Hilbertian bimodules, particularly those of finite numerical index and finite Watatani index.
Keywords: Hilbert module; vector bundle; multiplier module; Watatani index.
Funding agency Grant number
Australian Research Council DP150101595
This research was supported by Australian Research Council grant DP150101595.
Received: December 13, 2016; in final form June 12, 2017; Published online June 16, 2017
Bibliographic databases:
Document Type: Article
MSC: 57R22; 46L85
Language: English
Citation: Adam Rennie, Aidan Sims, “Non-Commutative Vector Bundles for Non-Unital Algebras”, SIGMA, 13 (2017), 041, 12 pp.
Citation in format AMSBIB
\Bibitem{RenSim17}
\by Adam~Rennie, Aidan~Sims
\paper Non-Commutative Vector Bundles for Non-Unital Algebras
\jour SIGMA
\yr 2017
\vol 13
\papernumber 041
\totalpages 12
\mathnet{http://mi.mathnet.ru/sigma1241}
\crossref{https://doi.org/10.3842/SIGMA.2017.041}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000403605300001}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85042050695}
Linking options:
  • https://www.mathnet.ru/eng/sigma1241
  • https://www.mathnet.ru/eng/sigma/v13/p41
  • This publication is cited in the following 5 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
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024