Skip to main content
SpringerLink
Log in
Book cover

Higher Algebraic K-Theory: an overview pp 31–54Cite as

Introduction to algebraic K-theory and cyclic homology

  • Chapter
  • First Online:

  • 1033 Accesses

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1491))

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   34.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   44.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

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.

References

  1. Aisbett, J.E., Lluis-Puebla, E., Snaith, V.: On K*ℤn) and K * (F q [t]/(t 2)). Memoirs AMS vol. 57, No 329, 1985

    Google Scholar 

  2. Connes, A.: Non commutative differential geometry. Publ. Math. IHES 62 (1985) 257–360

    Article  MathSciNet  MATH  Google Scholar 

  3. de Concini, C., Procesi, C.: A characteristic free approach to invariant theory. Advances in Math. 21 (1976) 330–354

    Article  MathSciNet  MATH  Google Scholar 

  4. Feigin, B.L., Tsygan, B.L.: Additive K-theory. Springer Lecture Notes 1289 (1987) 67–209

    Google Scholar 

  5. Goodwillie, T.G.: Cyclic homology, derivations and the free loop space. Topology 24 (1985) 187–215

    Article  MathSciNet  MATH  Google Scholar 

  6. Kassel, C., Loday, J.-L.: Extensions centrales d'algèbres de Lie. Ann. Inst. Fourier 33 (1982) 119–142

    Article  MathSciNet  MATH  Google Scholar 

  7. Loday, J.-L.: K-Théorie algèbrique et représentations de groupes. Ann. Sc. ENS 9 (1976) 309–377

    MathSciNet  MATH  Google Scholar 

  8. Loday, J.-L.: Cyclic homology: a survey, in geometric and algebraic topology. Banach Center Publications, vol. 18, Warsawa (1986) 285–307

    MathSciNet  Google Scholar 

  9. Loday, J.-L.: Symboles en K-théorie algèbrique supérieure. CRAS 292 (1981) 863–866

    MathSciNet  MATH  Google Scholar 

  10. Loday, J.-L., Quillen, D.: Cyclic homology and the Lie algebra homology of matrices. Comm. Math. Helv. 59 (1984) 565–591

    Article  MathSciNet  MATH  Google Scholar 

  11. Maazen, H., Stienstra, H.: A presentation of split radical pairs. J. Pure Applied Algebra 10 (1977/78) 271–294

    Article  MathSciNet  MATH  Google Scholar 

  12. Milnor, J.: Introduction to algebraic K-theory. Annals of Mathematics Studies, No 72. Princeton University Press, 1971

    Google Scholar 

  13. Quillen, D.: Cohomology of groups. Actes du Congrès International des Mathématiciens (Nice, 1970), t. 2, pp. 47–51

    Google Scholar 

  14. Suslin, A.A.: Homology of GL n , characteristic classes and Milnor K-theory. In: Alg. K-theory, number theory, geometry and analysis. Springer Lecture Notes in Math., 1046 (1984) 357–375

    Google Scholar 

  15. Tsygan, B.L.: The homology of matrix Lie algebras over rings and the Hochschild homology. Uspekhi Mat. Nauk bf 38 (1983) 217–218

    MathSciNet  MATH  Google Scholar 

  16. Weyl, H.: The classical groups. Princeton University Press, 1946

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institut de Recherche Mathématique Avancée, ULP et CNRS, 7 rue R. 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

About this chapter

Cite this chapter

Loday, JL. (1992). Introduction to algebraic K-theory and cyclic homology. In: Higher Algebraic K-Theory: an overview. Lecture Notes in Mathematics, vol 1491. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0088878

Download citation

  • DOI: https://doi.org/10.1007/BFb0088878

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-55007-5

  • Online ISBN: 978-3-540-46639-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation