Skip to main content
SpringerLink
Log in

"Vector bundles" over higher dimensional "non-commutative tori"

  • Conference paper
  • First Online:
Operator Algebras and their Connections with Topology and Ergodic Theory

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1132))

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 54.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 69.95
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. A. Connes, C*-algèbres et géometrie différentielle, C. R. Acad. Sc. Paris 290 (1980) 599–604.

    MathSciNet  MATH  Google Scholar 

  2. ____, A survey of foliations and operator algebras, Operator Algebras and Applications (R. V. Kadison, ed.) Proc. Symp. Pure Math., 38, Amer. Math. Soc., Providence 1982.

    Google Scholar 

  3. G. A. Elliott, On the K-theory of the C*-algebra generated by a projective representation of a torsion-free discrete Abelian group, Operator Algebras and Group Representations, Pitman, London, to appear.

    Google Scholar 

  4. P. Green, Square-integrable representations and the dual topology, J. Funct. Anal. 35 (1980), 279–294.

    Article  MathSciNet  MATH  Google Scholar 

  5. G. G. Kasparov, Lorentz groups: K-theory of unitary representations and crossed products, preprint.

    Google Scholar 

  6. G. W. Mackey, Unitary representations of group extensions, Acta Math. 99 (1958), 265–311.

    Article  MathSciNet  MATH  Google Scholar 

  7. M. A. Rieffel, Induced representations of C*-algebras, Adv. Math. 13 (1974), 176–257.

    Article  MathSciNet  MATH  Google Scholar 

  8. ____, C*-algebras associated with irrational rotations, Pacific J. Math. 95 (1981) 415–429.

    Article  MathSciNet  MATH  Google Scholar 

  9. ____, Dimension and stable rank in the K-theory of C*-algebras, Proc. London Math. Soc. 46 (1983), 301–333.

    Article  MathSciNet  MATH  Google Scholar 

  10. _____, The cancellation theorem for projective modules over irrational rotation C*-algebras, Proc. London Math. Soc. 47 (1983), to appear.

    Google Scholar 

  11. J. Rosenberg, Group C*-algebras and topological invariants, Operator Algebras and Group Representations, Pitman, London, to appear.

    Google Scholar 

  12. G. Zeller-Meier, Produits croisés d’une C*-algèbres par un groupe d’automorphismes, J. Math. Pures Appl., 47 (1968), 101–239.

    MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, University of California, 94720, Berkeley, California, USA

    Marc A. Rieffel

Authors
  1. Marc A. Rieffel
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Huzihiro Araki Calvin C. Moore Şerban-Valentin Stratila Dan-Virgil Voiculescu

Rights and permissions

Reprints and permissions

Copyright information

© 1985 Springer-Verleg

About this paper

Cite this paper

Rieffel, M.A. (1985). "Vector bundles" over higher dimensional "non-commutative tori". In: Araki, H., Moore, C.C., Stratila, ŞV., Voiculescu, DV. (eds) Operator Algebras and their Connections with Topology and Ergodic Theory. Lecture Notes in Mathematics, vol 1132. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0074902

Download citation

  • DOI: https://doi.org/10.1007/BFb0074902

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15643-7

  • Online ISBN: 978-3-540-39514-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation