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Structure of type IIIλ factors (0 < λ ≤ 1)

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Literature cited

  1. J. von Neumann, “On some algebraic properties of operator rings,” Ann. Math.,47, 709–715 (1943).

    Google Scholar 

  2. D. Macduff, “On the structure of factors,” Usp. Mat. Nauk,25, No. 6, 29–51 (1970).

    Google Scholar 

  3. A. Connes, “Une classification des facteurs de type III,” Ann. Sci. Ecole Norm. Sup., Ser. 4, No. 6, 133–252 (1973).

    Google Scholar 

  4. A. Connes, “Classification of injective factors,” Ann. Math.,104, 73–115 (1976).

    Google Scholar 

  5. R. T. Powers, “Representation of hyperfinite algebras,” Ann. Math.,86, No. 1, 138–171 (1967).

    Google Scholar 

  6. A. Connes, “Almost periodic states and factors of type III1”, J. Functional Anal.,26, No. 4, 415–445 (1974).

    Google Scholar 

  7. H. Araki, “Asymptotic ratio set and property lλ,” Publ. RIMS, Kyoto Univ., Ser. A,6, 443–460 (1970).

    Google Scholar 

  8. A. Connes, “Outer conjugacy classes of automorphisms of factors”, Ann. Sci. Ecole Norm. Sup., Ser. 4, No. 8, 383–420 (1973).

    Google Scholar 

  9. V. Ya. Golodets, “Modular operators and asymptotic commutativity in von Neumann algebras,” Usp. Mat. Nauk,33, No. 1, 43–94 (1978).

    Google Scholar 

  10. M. Takesaki, “Duality in cross product,” Acta Math.,131, 249–310 (1973).

    Google Scholar 

  11. W. Krieger, “On nonsingular transformations of a measure space,” Z. Wahr. Verw. Geb.,11, 83–97 (1969).

    Google Scholar 

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Authors and Affiliations

  1. Kharkov State University, USSR

    N. I. Nessonov

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  1. N. I. Nessonov
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 32, No. 3, pp. 348–354, May–June, 1980.

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Nessonov, N.I. Structure of type IIIλ factors (0 < λ ≤ 1). Ukr Math J 32, 231–236 (1980). https://doi.org/10.1007/BF01089758

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  • DOI: https://doi.org/10.1007/BF01089758

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