Advertisement

Functional Analysis and Its Applications

, Volume 19, Issue 2, pp 124–132 | Cite as

Additive K-theory and crystalline cohomology

  • B. L. Feigin
  • B. L. Tsygan
Article

Keywords

Functional Analysis Crystalline Cohomology 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Literature Cited

  1. 1.
    D. W. Anderson, "Relationship among K-theories," in: Lect. Notes in Math., Vol. 341, Springer-Verlag, Berlin—Heidelberg—New York (1973).Google Scholar
  2. 2.
    A. Connes, "Noncommutative differential geometry. Part I," Preprint I.H.E.S., Paris, October (1982).Google Scholar
  3. 3.
    A. Connes, "Noncommutative differential geometry. Part II," Preprint I.H.E.S., Paris, March (1983).Google Scholar
  4. 4.
    A. Dold and D. Puppe, "Homologie nicht-additiven Funktoren," Ann. Inst. Fourier,11, 201–312 (1961).Google Scholar
  5. 5.
    B. L. Feigin and B. L. Tsygan, "Cohomologies of the Lie algebra of generalized-Jacobi matrices," Funkts. Anal. Prilozhen.,17, No. 2, 86–87 (1983).Google Scholar
  6. 6.
    S. M. Gersten, "Higher K-theory of rings," in: Lecture Notes in Math., Vol. 341, Springer-Verlag, Berlin—Heidelberg—New York (1973), pp. 3–42.Google Scholar
  7. 7.
    A. Grothendieck, "Crystals and the de Rham cohomology of schemes," in: Dix Exposés sur la Cohomologie de Schemas, North-Holland, Amsterdam (1968).Google Scholar
  8. 8.
    J. L. Loday and D. G. Quillen, "Homologie cyclique et homologie de l'algebre de Lie des matrices," C. R. Acad. Sci. Paris,296, 295–297.Google Scholar
  9. 9.
    S. Maclane, Homology, Springer-Verlag, Berlin—Göttingen—Heidelberg (1963).Google Scholar
  10. 10.
    D. G. Quillen, Homotopical Algebra, Lect. Notes Math.,43, Springer-Verlag, Berlin (1967).Google Scholar
  11. 11.
    D. G. Quillen, "On the homologies of commutative rings," Mimeographed Notes, MIT (1970).Google Scholar
  12. 12.
    B. L. Tsygan, "Homologies of matrix Lie algebras over rings and Hochschild cohomologies," Usp. Mat. Nauk,38, No. 2, 225–226 (1983).Google Scholar
  13. 13.
    M. Karoubi, "Homologie cyclique et K-theorie algebrique, I et II," C. R. Acad. Sci. Paris,297, 447–450 and 513–516 (1983).Google Scholar
  14. 14.
    M. Karoubi, "Homologie cyclique et régulateurs en K-theorie algebrique," C. R. Acad. Sci. Paris,297, 557–560 (1983).Google Scholar
  15. 15.
    M. Karoubi, "Homologie cyclique de groupes et algebres," C. R. Acad. Sci. Paris,297, 381–384 (1983).Google Scholar

Copyright information

© Plenum Publishing Corporation 1985

Authors and Affiliations

  • B. L. Feigin
  • B. L. Tsygan

There are no affiliations available

Personalised recommendations