Skip to main content
SpringerLink
Log in
Book cover

Cyclic Homology pp 155–197Cite as

Variations on Cyclic Homology

  • Chapter

  • 530 Accesses

Part of the book series: Grundlehren der mathematischen Wissenschaften ((GL,volume 301))

Abstract

There are several ways of modifying cyclic homology: by altering the cyclic bicomplex, by putting up other groups than the cyclic groups or by enlarging the category of algebras.

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

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   74.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Bibliographical Comments on Chapter 5

  • Avramov, L., Halperin, S., On the vanishing of cotangent cohomology, Comment. Math. Helv. 62 (1987), 169–184.

    Article  MathSciNet  MATH  Google Scholar 

  • Block, J.L., Cyclic homology of filtered algebras, K-theory 1 (1987), 515–518.

    Article  MathSciNet  MATH  Google Scholar 

  • Block, J.L., Cyclic homology of filtered algebras, K-theory 1 (1987), 515–518.

    Google Scholar 

  • Brown, R., Loday, J.-L., Van Kampen theorems for diagrams of spaces, Topology 26 (1987), 311–335

    Article  MathSciNet  MATH  Google Scholar 

  • Krasauskas, R.L., Skew simplicial groups, Litovsk. Mat. Sb. 27 (1987) No. 1, 89–99

    MathSciNet  Google Scholar 

  • Lodder, J.M., Dihedral homology and the free loop space, Proc. London Math. Soc. 60 (1990), 201–224.

    MATH  Google Scholar 

  • Dunn, G., Dihedral and quaternionic homology and mapping spaces, K-theory 3 (1989), 141–161.

    Article  MathSciNet  MATH  Google Scholar 

  • Wolters, P., Generalized Arf invariants and reduced power operations in cyclic homology, thesis, Nijmegen, 1990.

    Google Scholar 

  • ViguÉ-Poirrier, M., Burghelea, D., A model for cyclic homology and algebraic K-theory of 1-connected topological spaces, J. Diff. Geom. 22 (1985), 243–253.

    Google Scholar 

  • Goodwillie, T.G., Relative algebraic K-theory and cyclic homology, Ann. Of Math. 124 (1986), 347–402. 88b: 18008

    Google Scholar 

  • Brylinski, J.-L., Getzler, E., The homology of algebras of pseudo-differential symbols and the non-commutative residue, K-theory 1 (1987), 385–403

    Article  MathSciNet  MATH  Google Scholar 

  • Geller, S., Reid, L., Weibel, C., The cyclic homology and K-theory of curves, J. Reine Ang. Math. 393 (1989), 39–90

    MathSciNet  MATH  Google Scholar 

  • Feigin, B.L., Tsygan, B.L., Cyclic homology of algebras with quadratic relations, universal enveloping algebras and group algebras, in “K-theory, Arithmetic and Geometry”, Springer Lect. Notes in Math. 1289 (1987), 210–239

    Article  MathSciNet  Google Scholar 

  • Kassel, C., Cyclic homology, comodules and mixed complexes, J. of Algebra 107 (1987), 195–216.

    Article  MathSciNet  MATH  Google Scholar 

  • Dwyer, W.G., Kan, D.M., Normalizing the cyclic modules of Connes, Comment. Math. Helv. 60 (1985) 582–600.

    Article  MathSciNet  MATH  Google Scholar 

  • Connes, A., Gromov, M., Moscovici, H. Conjectures de Novikov et fibrés presque plats, C. R. Acad. Sci. Paris Sér. A-B 310 (1990), 273–277. 91e: 57041

    MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institut de Recherche Mathématique Avancée, Centre National de la Recherche Scientifique, 7, rue René Descartes, F-67084, Strasbourg, France

    Jean-Louis Loday

Authors
  1. Jean-Louis Loday
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

Copyright information

© 1992 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Loday, JL. (1992). Variations on Cyclic Homology. In: Cyclic Homology. Grundlehren der mathematischen Wissenschaften, vol 301. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-21739-9_5

Download citation

  • DOI: https://doi.org/10.1007/978-3-662-21739-9_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-21741-2

  • Online ISBN: 978-3-662-21739-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation