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K-theory of special normed rings

Part of the Lecture Notes in Mathematics book series (LNM,volume 1437)

Keywords

  • Exact Sequence
  • Commutative Diagram
  • Short Exact Sequence
  • Inductive Limit
  • Natural Homomorphism

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References

  1. H. Bass, Algebraic K-theory, Benjamin, New York, 1968.

    MATH  Google Scholar 

  2. J.-B. Bost, K-théorie des produits croisés et principe d'Oka, C.R. Sc. Paris 301, S. 1 (1985), No 5, 189–192.

    MathSciNet  MATH  Google Scholar 

  3. B. H. Dayton, SK1 of commutative normed algebras, Lecture Notes in Math. 551 (1976), 30–43.

    CrossRef  MathSciNet  Google Scholar 

  4. S.M. Gersten, On Mayer-Vietoris functors and algebraic K-theory, J. of Algebra 18 (1971), 51–88.

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. D. Grayson, Higher algebraic K-theory: II after D. Quillen, Lecture Notes in Math. 551 1976, 217–239.

    CrossRef  MathSciNet  Google Scholar 

  6. H. Inassaridze, Homotopy of pseudosimplicial groups, no-nabelian derived functors and algebraic K-theory, Math. USSR Sbornik 27 (1975), No 3, 339–362.

    CrossRef  Google Scholar 

  7. H. Inassaridze, Studies in algebra, University Press, Tbilisi, 1984, 65–87.

    Google Scholar 

  8. H. Inassaridze, K-theory of Swan for Banach algebras over unitary Banach rings, Bull. Acad. Sci. Georgian SSR 118 (1985), No 3, 169–172.

    MathSciNet  Google Scholar 

  9. H. Inassaridze, K-theory of special normed algebras, Uspehi Matem. Nauk 40 (1985), No 4, 169–170.

    MathSciNet  Google Scholar 

  10. H. Inassaridze, On the homotopy theory of Karoubi-Villamayor algebraic K-theory, Bull. Acad. Sci. Georgian SSR 125 (1987), No 1, 17–19.

    MathSciNet  Google Scholar 

  11. H. Inassaridze, K-theory of special normed rings, Bull. Acad. Sci. Georgian SSR 134 (1989), No 3–II, 57–60.

    MathSciNet  Google Scholar 

  12. M. Karoubi, O. Villamayor, Foncteurs Kn en algèbre et en topologie, C.R. Acad. Paris 269 (1969), 416–419.

    MathSciNet  MATH  Google Scholar 

  13. M. Karoubi, O. Villamayor, K-théorie algébrique et K-théorie topologique I, Math. Scandinavica 28 (1971), fasc. 2, 205–307.

    MathSciNet  MATH  Google Scholar 

  14. M. Karoubi, K-théorie algébrique de certaines algèbres d'opérateurs, Lecture Notes in Math. 726 (1979), 254–290.

    CrossRef  MathSciNet  MATH  Google Scholar 

  15. G. Kasparov, Operator K-functor and extensions of C*-algebras, Izv. Akad. Nauk SSSR 44 (1980), No 3, 571–636.

    MathSciNet  MATH  Google Scholar 

  16. F. Keune, Homotopical algebra and algebraic K-theory, preprint, Amsterdam, 1972.

    Google Scholar 

  17. D.G. Quillen, Spectral sequences of a double semi-simplicial group, Topology 5 (1966), 155–157.

    CrossRef  MathSciNet  MATH  Google Scholar 

  18. R.G. Swan, Some relations between higher K-functors, J. of Algebra 21 (1972), No 1, 112–136.

    CrossRef  MathSciNet  MATH  Google Scholar 

  19. M. Tierney, W. Vogel, Simplicial resolutions and derived functors, Math. Z. 111 (1969), 1–14.

    CrossRef  MathSciNet  MATH  Google Scholar 

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© 1990 Springer-Verlag

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Inassaridze, H. (1990). K-theory of special normed rings. In: Inassaridze, H. (eds) K-theory and Homological Algebra. Lecture Notes in Mathematics, vol 1437. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0086719

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  • DOI: https://doi.org/10.1007/BFb0086719

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