Skip to main content
SpringerLink
Log in

On the Connes spectrum of simple C*-dynamical systems

  • Main Lectures
  • Chapter
  • First Online:
Mathematical Problems in Theoretical Physics

Part of the book series: Lecture Notes in Physics ((LNP,volume 80))

  • 173 Accesses

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

Access this chapter

Log in via an institution

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. W. Arveson: On groups of automorphisms of operator algebras. J. Functional Anal. 15 (1974), 217–243.

    Article  Google Scholar 

  2. H.J. Borchers: Characterization of inner *-automorphisms of W*-algebras. Publ. RIMS, Kyoto Univ. 10 (1974), 11–49.

    Google Scholar 

  3. O. Bratteli: Inductive limits of finite dimensional C*-algebras. Trans. Amer. Math. Soc. 171 (1972), 195–234.

    Google Scholar 

  4. O. Bratteli: A non-simple crossed product of a simple C*-algebra by a properly outer automorphic action. Preprint.

    Google Scholar 

  5. A. Connes: Une classification des facteurs de type III. Ann. Sci. école Norm. Sup. 6 (1973), 133–252.

    Google Scholar 

  6. A. Connes and M. Takesaki: The flow of weights on factors of type III. Preprint.

    Google Scholar 

  7. A. Connes: Periodic automorphism of the hyperfinite factor of type II1. Preprint.

    Google Scholar 

  8. S. Doplicher and R.T. Powers: On the simplicity of the even CAR-algebra and the free field model. Commun. Math. Phys. 7 (1968), 77–79.

    Google Scholar 

  9. D.E. Evans: On the spectrum of a one-parameter strongly continuous representation. Math. Scand. 39 (1976), 80–82.

    Google Scholar 

  10. A. Kishimoto and H. Takai: On an invariant T(α) in C*-dynamical systems. Preprint.

    Google Scholar 

  11. A. Kishimoto and H. Takai: Some topics on C*-dynamical systems based on a compact abelian group. Preprint.

    Google Scholar 

  12. M. Landstad: Duality theory of covariant systems. Thesis, Univeristy of Pennsylvania, 1974.

    Google Scholar 

  13. D. Olesen: On spectral subspaces and their applications to automorphism groups. Istituto Nazionale di Alta Matematica. Symposia Matematica, Volume XX (1976), 253–296.

    Google Scholar 

  14. D. Olesen: Inner *-automorphisms of simple C*-algebras. Commun. Math. Phys. 44 (1975), 175–190.

    Google Scholar 

  15. D. Olesen, G.K. Pedersen and E. Størmer: Compact abelian groups of automorphisms of simple C*-algebras. Inventiones math. 39 (1977), 55–64.

    Google Scholar 

  16. D. Olesen and G.K. Pedersen: Applications of the Connes spectrum to C*-dynamical systems. Preprint. To appear in J. Functional Anal.

    Google Scholar 

  17. G.K. Pedersen: An introduction to C*-algebra theory. Chapters VII and VIII. Lecture Notes.

    Google Scholar 

  18. H. Takai: On a duality for crossed products of C*-algebras. J. Functional Anal. 19 (1975), 25–39.

    Google Scholar 

Download references

Authors
  1. Dorte Olesen
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

G. Dell'Antonio S. Doplicher G. Jona-Lasinio

Rights and permissions

Reprints and permissions

Copyright information

© 1978 Springer-Verlag

About this chapter

Cite this chapter

Olesen, D. (1978). On the Connes spectrum of simple C*-dynamical systems. In: Dell'Antonio, G., Doplicher, S., Jona-Lasinio, G. (eds) Mathematical Problems in Theoretical Physics. Lecture Notes in Physics, vol 80. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-08853-9_14

Download citation

  • DOI: https://doi.org/10.1007/3-540-08853-9_14

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08853-0

  • Online ISBN: 978-3-540-35811-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation