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Resolution of the cohomology comparison problem for amenable Banach algebras

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References

  1. Badé, W.G., Curtis, Jr., P.C.: The continuity of derivations of Banach algebras. J. Funct. Anal.16, 372–387 (1974)

    Google Scholar 

  2. Bernstein, F.: Untersuchungen aus der Mengenlehre. Math. Ann.61, 117–155 (1905)

    Google Scholar 

  3. Cartan, H., Eilenberg, S.: Homological algebra. Princeton: Princeton University Press 1960

    Google Scholar 

  4. Cohen, P.J.: Set theory and the Continuum Hypothesis. New York Amsterdam: Benjamin 1966

    Google Scholar 

  5. Dales, H.G.: Automatic continuity: A survey. Bull. Lond. Math. Soc.10, 129–183 (1978)

    Google Scholar 

  6. Goblot, R.: Sur les dérivés de certaines limites projectives. Applications aux modules. Bull. Sci. Math., II. Sér.94, 251–255 (1970)

    Google Scholar 

  7. Guichardet, A.: Sur l'homologie et la cohomologie des algebres de Banach. C.R. Acad. Sci. Paris, Sér. I.262, A38–41 (1966)

    Google Scholar 

  8. Hewitt, E.: The ranges of certain convolution operators. Math. Scand.15, 147–155 (1964)

    Google Scholar 

  9. Johnson, B.E.: Cohomology in Banach algebras. Mem. Am. Math. Soc.127 (1972)

  10. Johnson, B.E.: Approximate diagonals and cohomology of certain annihilator Banach algebras. Am. J. Math.94, 685–698

  11. Kamowitz, H.: Cohomology groups of commutative Banach algebras. Trans. Am. Math. Soc.102, 352–372 (1962)

    Google Scholar 

  12. Khelemskiî, A. Ya.: Homology in Banach and topological algebras (in Russian). Moscow: Moscow University Press 1986

    Google Scholar 

  13. Osofsky, B.: Upper bounds on homological dimensions. Nagoya Math. J.32, 315–322 (1968)

    Google Scholar 

  14. Ringrose, J.R.: Automatic continuity of derivations of operator algebras. J. Lond. Math. Soc.5, 432–438 (1972)

    Google Scholar 

  15. Scheinberg, M. V.: Homological properties of closed ideals possessing a bounded approximate unit (in Russian). Vestnik Moskovskogo Univ.27:4, 39–45 (1972)

    Google Scholar 

  16. Scheinberg, M.V.: On the relative homological dimension of the group algebras of locally compact groups (in Russian). Izv. Akad. Nauk SSSR Ser. Mat.37, 308–318 (1973)

    Google Scholar 

  17. Wodzicki, M.: Homological properties of rings of functional-analytic type. Proc. Natl. Acad. Sci. USA87, 4910–4911 (1990)

    Google Scholar 

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  1. Department of Mathematics, University of California, 94720, Berkeley, CA, USA

    Mariusz Wodzicki

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  1. Mariusz Wodzicki
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Oblatum II-1991

Partially supported by the N.S.F. Grants DMS-8910928 and DMS-8505550

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Wodzicki, M. Resolution of the cohomology comparison problem for amenable Banach algebras. Invent Math 106, 541–547 (1991). https://doi.org/10.1007/BF01243923

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