Skip to main content
SpringerLink
Log in

A note on a Chern character on the circle

  • Published:
manuscripta mathematica Aims and scope Submit manuscript

Abstract

In this note we present a simple derivation of the Chern character of a certain finitely summable Fredholm module, associated to the algebra of pseudodifferential operators of order ≤0 on the unit circle S1.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. J. Block, J. Fox,Asymptotic Pseudodifferential Operators and Index Theory, Contemp. Math.105 (1990), 1–32

    MathSciNet  Google Scholar 

  2. A. Connes,Non-commutative Differential Geometry, Publ. Math. IHES62 (1985), 41–144

    MATH  Google Scholar 

  3. A. Connes,On the Chern Character of a θ-summable Fredholm Module, Commun. Math. Phys.139 (1991), 171–181

    Article  MATH  MathSciNet  Google Scholar 

  4. A. Connes, H. Moscovici,Transgression and the Chern Character of Finite-Dimensional K-cycles, Commun. Math. Phys.155 (1993), 103–122

    Article  MATH  MathSciNet  Google Scholar 

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

    Article  MATH  MathSciNet  Google Scholar 

  6. M. A. Shubin,Pseudodifferential Operators and Spectral Theory, Springer Verlag, Berlin, 1987

    MATH  Google Scholar 

  7. B. Simon,Trace Ideals and their Applications, Cambridge Univ. Press, Cambridge, 1979

    MATH  Google Scholar 

  8. M. Taylor,Pseudodifferential Operators, Lecture Notes in Mathematics, vol. 416, Springer-Verlag, Berlin, 1974

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, University of North Texas, 76203, Denton, TX

    Nicolae Anghel

Authors
  1. Nicolae Anghel
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Research supported in part by the Texas Advanced Research Program under Grant No. 003594-071

Rights and permissions

Reprints and permissions

About this article

Cite this article

Anghel, N. A note on a Chern character on the circle. Manuscripta Math 85, 25–31 (1994). https://doi.org/10.1007/BF02568181

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02568181

Keywords

Search

Navigation