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An invariant for group actions

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Algèbres d’Opérateurs

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References

  1. S. EILENBERG and S. MACLANE: Cohomology theory in abstract groups II. Ann. of Math. 48, 326–341 (1947)

    Article  MathSciNet  MATH  Google Scholar 

  2. M. NAKAMURA and Z. TAKEDA: On the extensions of finite factors, Proc. Jap. Acad. 35, 215–220 (1959).

    Article  MathSciNet  Google Scholar 

  3. C. SUTHERLAND Cohomology and extensions of operator algebras II (preprint).

    Google Scholar 

  4. J. HUEBSCHMANN Diss. E.T.H., 5999, Zürich, 1977.

    Google Scholar 

  5. J.-L. LODAY Cohomologie et groupe de Steinberg relatif. (Preprint).

    Google Scholar 

  6. WU, Y.C. Some applications of group obstructions (preprint).

    Google Scholar 

  7. J.G. RATCLIFFE Crossed Extensions (Preprint).

    Google Scholar 

  8. RINEHART, G.S. Satellites and Cohomology. J. of Algebra, 12, 295–329, (1969).

    Article  MathSciNet  MATH  Google Scholar 

  9. A. CONNES Periodic Automorphisms of the hyperfinite factor of type II, Acta Sci. Math. 39, 39–66 (1977).

    MathSciNet  MATH  Google Scholar 

  10. R.J. BLATTNER Automorphic group representations. Pacific J. Math. 8, 665–677 (1958).

    Article  MathSciNet  MATH  Google Scholar 

  11. G. HOCHSCHILD and J.-P. SERRE: Cohomology of group extensions. Trans. A.M.S. 74, 110–134 (1953).

    Article  MathSciNet  MATH  Google Scholar 

  12. S. MACLANE Homology. Springer 1967.

    Google Scholar 

  13. G. ZELLER-MEIER Produits croisés d’une C*-algèbre par un groupe d’automorphismes. J. Math. Pures et Appl. 47-101–239 (1968).

    MathSciNet  MATH  Google Scholar 

  14. A. CONNES Classification of Injective Factors. Ann. of Math. 104, 73–115 (1976).

    Article  MathSciNet  MATH  Google Scholar 

  15. R. KALLMANN A generalization of free action, Duke Math. J. 36, 781–789 (1969)

    Article  MathSciNet  Google Scholar 

  16. M.F. ATIYAH and C.T.C. WALL: "Cohomology of groups" in Algebraic numbers Theory. J.W.S. Cassels and A. Fröhlich Acad. Press 1967.

    Google Scholar 

  17. V.F.R. JONES: Actions of finite abelian groups on the hyperfinite II1 factor (Preprint).

    Google Scholar 

  18. J. DIXMIER Les moyennes invariantes dans les semi-groupes et leurs applications. Acta Sci. Math. 12 A, 213–228 (1950).

    MathSciNet  MATH  Google Scholar 

  19. K.H. HOFMAN and P.S. MOSTERT: Cohomology theories for compact Abelian groups. Springer 1973.

    Google Scholar 

  20. A. CONNES Outer Conjugacy Classes of automorphisms of factors. Ann. Scient. Ec. Norm. Sup. 4ème série t.8, 383–420 (1975)

    MathSciNet  Google Scholar 

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© 1979 Springer-Verlag Berlin Heidelberg

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Jones, V.F.R. (1979). An invariant for group actions. In: de la Harpe, P. (eds) Algèbres d’Opérateurs. Lecture Notes in Mathematics, vol 725. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0062620

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  • DOI: https://doi.org/10.1007/BFb0062620

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09512-5

  • Online ISBN: 978-3-540-35162-7

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