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Additive K-theory and crystalline cohomology

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Literature Cited

  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. A. Connes, "Noncommutative differential geometry. Part I," Preprint I.H.E.S., Paris, October (1982).

    Google Scholar 

  3. A. Connes, "Noncommutative differential geometry. Part II," Preprint I.H.E.S., Paris, March (1983).

    Google Scholar 

  4. A. Dold and D. Puppe, "Homologie nicht-additiven Funktoren," Ann. Inst. Fourier,11, 201–312 (1961).

    Google Scholar 

  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. 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. 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. 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.

  9. S. Maclane, Homology, Springer-Verlag, Berlin—Göttingen—Heidelberg (1963).

    Google Scholar 

  10. D. G. Quillen, Homotopical Algebra, Lect. Notes Math.,43, Springer-Verlag, Berlin (1967).

    Google Scholar 

  11. D. G. Quillen, "On the homologies of commutative rings," Mimeographed Notes, MIT (1970).

  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. 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. M. Karoubi, "Homologie cyclique et régulateurs en K-theorie algebrique," C. R. Acad. Sci. Paris,297, 557–560 (1983).

    Google Scholar 

  15. M. Karoubi, "Homologie cyclique de groupes et algebres," C. R. Acad. Sci. Paris,297, 381–384 (1983).

    Google Scholar 

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Institute for Solid-State Physics, Academy of Sciences of the USSR. M. V. Lomonosov Moscow State University. Translated from Funktsional'nyi Analiz i Ego Prilozheniya, Vol. 19, No. 2, pp. 52–62, April–June, 1985.

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Feigin, B.L., Tsygan, B.L. Additive K-theory and crystalline cohomology. Funct Anal Its Appl 19, 124–132 (1985). https://doi.org/10.1007/BF01078391

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