Factors of Type III

Masamichi Takesaki

Publications mathématiques et informatique de Rennes (1975)

  • Issue: S4, page 1-25

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Takesaki, Masamichi. "Factors of Type III." Publications mathématiques et informatique de Rennes (1975): 1-25. <http://eudml.org/doc/274623>.

@article{Takesaki1975,
author = {Takesaki, Masamichi},
journal = {Publications mathématiques et informatique de Rennes},
language = {eng},
number = {S4},
pages = {1-25},
publisher = {Département de Mathématiques et Informatique, Université de Rennes},
title = {Factors of Type III},
url = {http://eudml.org/doc/274623},
year = {1975},
}

TY - JOUR
AU - Takesaki, Masamichi
TI - Factors of Type III
JO - Publications mathématiques et informatique de Rennes
PY - 1975
PB - Département de Mathématiques et Informatique, Université de Rennes
IS - S4
SP - 1
EP - 25
LA - eng
UR - http://eudml.org/doc/274623
ER -

References

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  12. 11. A. Connes and A. Van Daele, The group property of the invariant S(M), Math. Scand., Zbl0268.46056
  13. 12. A. Connes and M. Takesaki, Flots des poids sur les facteurs de type III, C. R. Acad, Paris, Ser. A. 278 (1974), 945-948. Zbl0274.46051MR355625
  14. 13. A. Connes and M. Takesaki, The flow of weights on factors of type III, to appear. Zbl0408.46047MR480760
  15. 14. A. Van Daele, A new approach to the Tomita-Takesaki theory of generalized Hilbert algebras, J. Functional Analysis, 15 (1974), 378-393- Zbl0279.46027MR346539
  16. 15. H. A. Dye, On groups of measure preserving transformations I, Amer. J. Math., 81 (1959), 119-159; Zbl0087.11501MR131516
  17. H. A. Dye, On groups of measure preserving transformations II, Amer. J. Math., 85 (1963), 551-570. Zbl0191.42803MR158048
  18. 16. R. Haag, N. M. Hugenholtz and M. Winnink, On the equilibrium states in quantum statistical mechanics, Comm. Math. Phys., 5 (1967), 215-236. Zbl0171.47102MR219283
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  27. 25. I. M. Singer, Automorphisms of finite factors, Amer. J. Math., 77 (1953), 117-133- Zbl0064.11001MR66567
  28. 26. M. Takesaki, Tomita's theory of modular HiIbert algebras, Lecture Notes in Math., Springer-Verlag, 128 (1970). Zbl0193.42502MR270168
  29. 27. M. Takesaki, Periodic and homogeneous states on a von Neumann algebras I. Bull. Amer. Math. Soc., 79 (1973), 202-206; Zbl0262.46064MR306936
  30. M. Takesaki, Periodic and homogeneous states on a von Neumann algebras II, Bull. Amer. Math Soc., 79 (1973), 416-420; Zbl0262.46065MR313830
  31. M. Takesaki, Periodic and homogeneous states on a von Neumann algebras III, Bull. Amer. Math. Soc., 79 (1973), 559-563. Zbl0262.46066MR313830
  32. 28. M. Takesaki, The structure of a von Neumann algebra with a homogeneous periodic state, Acta Math., 131 (1973), 79-121. Zbl0267.46047MR438148
  33. 29. M. Takesaki, Duality for crossed products and the structure of von Neumann algebras of type III, Acta Math., 131 (1973), 249-310. Zbl0268.46058MR438149
  34. 30. M. Tomita, standard forms of von.Neumann algebras, The Vth Functional Analysis Symposium of the Math. Soc. of Japan, Sendai, (1967). MR284822

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