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On ergodic flows and the isomorphism of factors

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References

  1. Araki, H., Woods, E. J.: A classification of factors. Publ. RIMS Kyoto University Ser. A4 51–130 (1968)

    Google Scholar 

  2. Connes, A.: Groupe modulaire d'une algébre de von Neumann de genre dénombrable. C.R. Acad. Sci. Paris Ser. A274, 1923–1926 (1972)

    Google Scholar 

  3. Connes, A.: Une classification des facteur de type III. Ann. Scient. Ec. Norm. Sup. 4e série6, 133–252 (1973)

    Google Scholar 

  4. Dixmier, J.: Les algèbres d'operateurs dans l'espace Hilbertien. Paris: Gauthier-Villars 1969

    Google Scholar 

  5. Dye, H. A.: On groups of measure preserving transformations I. Amer. J. Math.85, 119–159 (1959)

    Google Scholar 

  6. Krengel, U.: Darstellungssätze für Strömungen und Halbströmungen II. Math. Ann.182, 1–39 (1969)

    Google Scholar 

  7. Krieger, W.: On non-singular transformations of a measure space I. Z. Wahrscheinlichkeits-theorie verw. Geb.11, 83–97 (1969)

    Google Scholar 

  8. Krieger, W.: On non-singular transformations of a measure space II. Z. Wahrscheinlichkeits-theorie verw. Geb.11, 98–119 (1969)

    Google Scholar 

  9. Krieger, W.: On constructing non-*isomorphic hyperfinite factors of type III. J. Functional analysis6, 97–109 (1970)

    Google Scholar 

  10. Krieger, W.: On the Araki-Woods asymptotic ratio set and non-singular transformations of a measure space. Lecture Notes in Mathematics 160. Contributions to Ergodic theory and probability, pp. 158–177. Berlin, Heidelberg, New York: Springer 1970

    Google Scholar 

  11. Krieger, W.: On a class of hyperfinite factors that arise from null-recurrent Markow chains. J. Funct. Analysis7, 27–42 (1971)

    Google Scholar 

  12. Krieger, W.: On the construction of factors from ergodic nonsingular transformations, Proceedings of the international school of physics “Enrico Fermi”, 23rd July – 4th August 1973,C*-Algebras and their Applications to Statistical Mechanics and Quantum Field Theory. pp. 114–120. North Holland, Amsterdam, Società italiana di fisica, Bologna, 1976

  13. Kubo, I.: Quasi-flows. Nagoya Math. J.35, 1–30 (1969)

    Google Scholar 

  14. Murray, F. J., von Neumann, J.: On rings of operators. Ann. of Math.37, 116–229 (1936)

    Google Scholar 

  15. von Neumann, J.: On rings of operators III. Ann. of Math.41, 94–161 (1940)

    Google Scholar 

  16. Phelps, R. P.: Lectures on Choquet's theorem. New York: Van Nostrand 1966

    Google Scholar 

  17. Powers, R. T.: Representations of uniformly hyperfinite algebras and the associated von Neumann rings. Ann. of Math.86, 138–171 (1967)

    Google Scholar 

  18. Takesaki, M.: The structure of a von Neumann algebra with a homogeneous periodic state. Acta Math.131, 79–121 (1973)

    Google Scholar 

  19. Takesaki, M.: Dualité dans les produits croisés des algébres de von Neumann. C.R. Acad. Sci. (Paris), Ser. A276, 41–44 (1973)

    Google Scholar 

  20. Takesaki, M.: Algébres de von Neumann proprement infinites et produits croisés. C.R. Acad. Sci. (Paris), Ser. A276, 125–128 (1973)

    Google Scholar 

  21. Takesaki, M.: Duality for crossed products and the structure of von Neumann algebras of type III. Acta Math.131, 249–310 (1973)

    Google Scholar 

  22. Varadarajan, V. S.: Groups of automorphisms of Borel spaces. Trans. Am. Math. Soc.109, 191–200 (1963)

    Google Scholar 

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  1. Institut für Angewandte Mathematik der Universität, Im Neuenheimer Feld 5, D-6900, Heidelberg, Federal Republic of Germany

    Wolfgang Krieger

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  1. Wolfgang Krieger
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Krieger, W. On ergodic flows and the isomorphism of factors. Math. Ann. 223, 19–70 (1976). https://doi.org/10.1007/BF01360278

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