Skip to main content
SpringerLink
Log in

KMS states, cyclic cohomology and supersymmetry

  • V. Non-commutative Geometry
  • Conference paper
  • First Online:
Quantum Groups

Part of the book series: Lecture Notes in Physics ((LNP,volume 370))

Abstract

We present a proof that each “super-KMS functional” of a “supersymmetric” C*-dynamical system yields an (entire) cyclic cocycle of the corresponding algebra [3]. We also describe the background: KMS states and entire cyclic cohomology.

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.

Bibliography

  1. R. Haag, N. Hugenholtz; M. Winnink CMP 5 215 (1967)

    Google Scholar 

  2. A. Connes, K-Theory 1 519 (1988)

    Google Scholar 

  3. A. Connes, Pacific. J. Math. 137 225 (1989)

    Google Scholar 

  4. D. Kastler, CMP 121 345 (1989)

    Google Scholar 

  5. A. Jaffe, A. Lesniewski, K. Osterwalder CMP 118 1 (1988)

    Google Scholar 

  6. A. Connes, Private communication.

    Google Scholar 

  7. R. Haag, D. Kastler, J.Math.Phys.5 848 (1964)

    Google Scholar 

  8. D. Kastler, Proc. Symp. Pur. Math. 38 467 (1982)

    Google Scholar 

  9. D. Kastler Symposia Math. XX 49 (1976)

    Google Scholar 

  10. O. Bratteli, D. Robinson. Vol. II, texts and monographies in Physics Springer (1981)

    Google Scholar 

  11. R. Haag, D. Kastler, E.B. Trych-Pohlmeyer, CMP 38 173 (1974)

    Google Scholar 

  12. W. Push, S. Woronowiz, CMP 58 273 (1978)

    Google Scholar 

  13. H. Araki, R. Haag, D. Kastler, M. Takesaki, CMP 53 97 (1977)

    Google Scholar 

  14. M. Tomita, Vth Funct. Anal. Symp. Math. Soc. Japan Sendai (1967)

    Google Scholar 

  15. M. Takesaki, Springer Lecture Notes Math. 128 (1970)

    Google Scholar 

  16. A.Connes, Ann. Sc. Ec. Norm. Sup. 6 133 (1973)

    Google Scholar 

  17. J. Dixmier, Cahiers scientifiques XXV, Gauthier-villars Paris(1969)

    Google Scholar 

  18. H. Araki, J. Math. Phys. 4 1343 (1963)

    Google Scholar 

  19. N. Hugenholtz, CMP, 6 189 (1967)

    Google Scholar 

  20. W. Driessler, CMP 44 133 (1975)

    Google Scholar 

  21. R. Longo, Proc. Symp. Pur. Math. 38 551 (1982)

    Google Scholar 

  22. A. Connes, Ann.Math. 104 73 (1976)

    Google Scholar 

  23. A. Connes, Proc.Symp. Pur. Math. 38 43 (1982)

    Google Scholar 

  24. M. Takesaki, Acta Math. 131 249 (1973)

    Google Scholar 

  25. U. Haagerup, Acta Math.104 73 (1976)

    Google Scholar 

  26. A. Connes, Pub. Math. I.H.E.S. 62 257 (1985)

    Google Scholar 

  27. D. Kastler, Travaux en cours 30, Ed. Hermann, Paris (1988)

    Google Scholar 

  28. D. Kastler, K Theory 1 485 (1989)

    Google Scholar 

  29. A. Jaffe, A. Lesniewski, K. Osterwalder, Preprint HUTMP, 88/B-229 Harvard

    Google Scholar 

  30. A. Jaffe, A. Lesniewski, M. Wisniowski HUTMP 88B-231, Harvard.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Centre de Physique Théorique, CNRS - Luminy, Case 907, F-13288, Marseille Cedex 9, France

    D. Kastler

Authors
  1. D. Kastler
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

H. -D. Doebner J. -D. Hennig

Rights and permissions

Reprints and permissions

Copyright information

© 1990 Springer-Verlag

About this paper

Cite this paper

Kastler, D. (1990). KMS states, cyclic cohomology and supersymmetry. In: Doebner, H.D., Hennig, J.D. (eds) Quantum Groups. Lecture Notes in Physics, vol 370. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-53503-9_55

Download citation

  • DOI: https://doi.org/10.1007/3-540-53503-9_55

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-53503-4

  • Online ISBN: 978-3-540-46647-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation