Skip to main content
SpringerLink
Log in

Algebra cochains and cyclic cohomology

  • Published:
Publications Mathématiques de l'Institut des Hautes Études Scientifiques Aims and scope Submit manuscript

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

References

  1. A. Connes, Non-commutative differential geometry,Publ. Math. I.H.E.S.,62 (1985), 41–144.

    MATH  Google Scholar 

  2. A. Connes, Entire cyclic cohomology of Banach algebras and characters of ϑ-summable Fredholm modules,K-Theory,1 (1988), 519–548.

    Article  MATH  Google Scholar 

  3. A. Connes andH. Moscovici, Cyclic cohomology, the Novikov conjecture and hyperbolic groups,Topology, to appear.

  4. E. Getzler, Pseudodifferential operators on supermanifolds and the Atiyah-Singer index theorem,Commun. Math. Phys.,92 (1983), 163–178.

    Article  MATH  Google Scholar 

  5. E. Getzler andA. Szenes, On the Chern character of a theta-summable Fredholm module,J. Funct. Anal., to appear.

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

    Article  MATH  Google Scholar 

  7. C. Kassel, L’homologie cyclique des algèbres enveloppantes,Invent. Math.,91 (1988), 221–251.

    Article  MATH  Google Scholar 

  8. J.-L. Loday andD. Quillen, Cyclic homology and the Lie algebra homology of matrices,Comment. Math. Helvetici,59 (1984), 565–591.

    Article  MATH  Google Scholar 

  9. D. Quillen, Superconnection character forms and the Cayley transform,Topology,27 (1988), 211–238.

    Article  MATH  Google Scholar 

  10. D. Quillen, Cyclic cohomology and extensions of algebras,K-Theory, to appear.

  11. B. L. Tsygan, Homology of matrix algebras over rings and Hochschild homology,Uspehi Mat. Nauk,38:2 (1983), 217–218;Russian Math. Surveys,38 (1983), 198–199.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Mathematical Institute, University of Oxford, 24-29 St Giles, OX1 3LB, Oxford, UK

    Daniel Quillen

Authors
  1. Daniel Quillen
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Dedicated to René Thom.

About this article

Cite this article

Quillen, D. Algebra cochains and cyclic cohomology. Publications Mathématiques de l’Institut des Hautes Scientifiques 68, 139–174 (1988). https://doi.org/10.1007/BF02698546

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02698546

Keywords

Search

Navigation