Skip to main content
Log in

On the Chern character of θ summable Fredholm modules

  • Published:
Communications in Mathematical Physics Aims and scope Submit manuscript

Abstract

We show that the entire cyclic cohomology class given by the Jaffe-Lesniewski-Osterwalder formula is the same as the class we had constructed earlier as the Chern character of θ-summable Fredholm modules.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Connes, A.: Non commutative differential geometry. Publ. Math. I.H.E.S.62, 257–360 (1985)

    Google Scholar 

  2. Connes, A.: Géométrie non commutative. Paris: Interéditions 1990

    Google Scholar 

  3. Connes, A.: Entire cyclic cohomology of Banach algebras and characters of θ-summable Fredholm modules.K. Theory1, 519–548 (1988)

    Google Scholar 

  4. Connes, A., Cuntz, J.: Quasi homomorphismes, cohomologie cyclique et positivité. Commun. Math. Phys.114, 515–526 (1988)

    Google Scholar 

  5. Cuntz, J.: A new look atKK theory.K theory1, 31–51 (1987)

    Google Scholar 

  6. Jaffe, A., Lesniewski, A., Osterwalder, K.: QuantumK-theory I. The Chern Character. Commun. Math. Phys.118, 1–14 (1988)

    Article  Google Scholar 

  7. Ernst, K., Feng, P., Jaffe, A., Lesniewski, A: QuantumK-theory II. Homotopy invariance of the Chern character J. Funct. Anal. (to appear)

  8. Quillen, D.: Algebra cochains and cyclic cohomology. Publ. Math. I.H.E.S.68, 139–174 (1989)

    Google Scholar 

  9. Zekri, R.: A new description of Kasparov's theory ofC * algebra extensions. CPT86/P 1986 Marseille Luminy

Download references

Author information

Authors and Affiliations

Authors

Additional information

Communicated by A. Jaffe

Rights and permissions

Reprints and permissions

About this article

Cite this article

Connes, A. On the Chern character of θ summable Fredholm modules. Commun.Math. Phys. 139, 171–181 (1991). https://doi.org/10.1007/BF02102733

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02102733

Keywords

Navigation