Factors of Type III
Publications des séminaires de mathématiques et informatique de Rennes, International Conference on Dynamical Systems in Mathematical Physics, no. S4 (1975), article no. 25, 25 p.
@article{PSMIR_1975___S4_A25_0,
     author = {Takesaki, Masamichi},
     title = {Factors of {Type} {III}},
     journal = {Publications des s\'eminaires de math\'ematiques et informatique de Rennes},
     eid = {25},
     pages = {1--25},
     publisher = {D\'epartement de Math\'ematiques et Informatique, Universit\'e de Rennes},
     number = {S4},
     year = {1975},
     language = {en},
     url = {http://www.numdam.org/item/PSMIR_1975___S4_A25_0/}
}
TY  - JOUR
AU  - Takesaki, Masamichi
TI  - Factors of Type III
JO  - Publications des séminaires de mathématiques et informatique de Rennes
PY  - 1975
SP  - 1
EP  - 25
IS  - S4
PB  - Département de Mathématiques et Informatique, Université de Rennes
UR  - http://www.numdam.org/item/PSMIR_1975___S4_A25_0/
LA  - en
ID  - PSMIR_1975___S4_A25_0
ER  - 
%0 Journal Article
%A Takesaki, Masamichi
%T Factors of Type III
%J Publications des séminaires de mathématiques et informatique de Rennes
%D 1975
%P 1-25
%N S4
%I Département de Mathématiques et Informatique, Université de Rennes
%U http://www.numdam.org/item/PSMIR_1975___S4_A25_0/
%G en
%F PSMIR_1975___S4_A25_0
Takesaki, Masamichi. Factors of Type III. Publications des séminaires de mathématiques et informatique de Rennes, International Conference on Dynamical Systems in Mathematical Physics, no. S4 (1975), article  no. 25, 25 p. http://www.numdam.org/item/PSMIR_1975___S4_A25_0/

1. S. Anastasio and P. M. Willig, The structure of factors, New York., Algonthnic Press, (1974). | MR | Zbl

2. H. Araki, Structure of some von Neumann aIgebras with isolated discrete modular spectram. | Zbl

3. H. Araki and B. J. Woods, A classification of factors, Publications of Research Institute for Math. Sciences, Kyoto Univ., Ser.A 4 (1968), 51-130. | MR | Zbl

4. H. Choda, On the crossed product of abelian von Neuwmann algebras, II. Proc. Japan Acad., 43 (1967), 198-201. | MR | Zbl

5. F. Combes, Poids aur une C * -algebra, J. Math. pures et oppl., 47 (1968), 57-100. | MR | Zbl

6. F. Combes, Poids associé une algèbre hilbertinne à gauche, Compotio Math., 23 ( 1971 ) , 49-77- | Numdam | MR | Zbl

7. A. Connes, Un nouvel inrariant pour les algèbres de von Neumann, C. R. Acad. Paris, Ser. A 273 (1971), 900-903; | MR | Zbl

A. Connes, Calcul des deux invariants d'Arater et Woods par la théorie de Tomita et Takesaki, C. R. Acad. Paris, Ser. A 274 (1972), 175-177- | MR | Zbl

8. A. Connes, Une classification de facteurs de type III, Ann. Sci. École Norm. Sup., 4 éme Ser., 6 (1973), 133-252. | Numdam | MR | Zbl

9. A. Connes, Periodic automorphisms of the hyperfinite factor of type II 1 , preprint. | MR | Zbl

10. A. Connes, Automorphism groups of II 1 factors, Talk given at the International Conference on C * -algebras and Applications to physics held in Rome, March, 1975.

11. A. Connes and A. Van Daele, The group property of the invariant S(M), Math. Scand.,

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. | MR | Zbl

13. A. Connes and M. Takesaki, The flow of weights on factors of type III, to appear. | MR | Zbl

14. A. Van Daele, A new approach to the Tomita-Takesaki theory of generalized Hilbert algebras, J. Functional Analysis, 15 (1974), 378-393- | MR | Zbl

15. H. A. Dye, On groups of measure preserving transformations I, Amer. J. Math., 81 (1959), 119-159; | MR | Zbl

H. A. Dye, On groups of measure preserving transformations II, Amer. J. Math., 85 (1963), 551-570. | MR | Zbl

16. R. Haag, N. M. Hugenholtz and M. Winnink, On the equilibrium states in quantum statistical mechanics, Comm. Math. Phys., 5 (1967), 215-236. | MR | Zbl

17. W. Krieger, An ergodic flows and the isomorphism of factors, to appear. | MR | Zbl

18. G. W. Mackey, Ergedic theory and virtual groups, Math. Ann., 166 (1966), 187-207. | MR | Zbl

19. D. Mcduff, A countable infinity of II1-factors, Ann. Math. 90 (1969), 361-371- | MR | Zbl

20. D. Mcduff, Uncountable many Il1-factors, Ann. Math., 90 (1969), 372-377. | MR | Zbl

21. G. K. Pedersen, Measure theory for C * -algebras, Math. Scand., 19 (1966), 131-145. | MR | Zbl

22. G. K. Pedersen and M. Takesaki, The Radon-Mikodym theorem for von Neumann algebras, Acta Math. 130 (1973), 53-87. | MR | Zbl

23. R. T. Powers, Representations of uniformly hyperfinite algebras and their associated von Neumann rings, Ann. Math., 86 (1967), 138-171. | MR | Zbl

24. S. Sakai, An uncountable number of II 1 and II factors, J. Functional Analysis, 5 (1970), 236-246. | MR | Zbl

25. I. M. Singer, Automorphisms of finite factors, Amer. J. Math., 77 (1953), 117-133- | MR | Zbl

26. M. Takesaki, Tomita's theory of modular HiIbert algebras, Lecture Notes in Math., Springer-Verlag, 128 (1970). | MR | Zbl

27. M. Takesaki, Periodic and homogeneous states on a von Neumann algebras I. Bull. Amer. Math. Soc., 79 (1973), 202-206; | MR | Zbl

M. Takesaki, Periodic and homogeneous states on a von Neumann algebras II, Bull. Amer. Math Soc., 79 (1973), 416-420; | MR | Zbl

M. Takesaki, Periodic and homogeneous states on a von Neumann algebras III, Bull. Amer. Math. Soc., 79 (1973), 559-563. | MR | Zbl

28. M. Takesaki, The structure of a von Neumann algebra with a homogeneous periodic state, Acta Math., 131 (1973), 79-121. | MR | Zbl

29. M. Takesaki, Duality for crossed products and the structure of von Neumann algebras of type III, Acta Math., 131 (1973), 249-310. | MR | Zbl

30. M. Tomita, standard forms of von.Neumann algebras, The Vth Functional Analysis Symposium of the Math. Soc. of Japan, Sendai, (1967). | MR