Quelques aspects de la théorie des algèbres d'opérateurs

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1. [1] C. Akemann et P. Ostrand. On a tensor product C* algebra associated with the free group on two generators (Preprint). Zbl0298.46067MR399345
2. [2] H. Araki et E.J. Woods. A classification of factors. (Publ. Res. Inst. Math. Sci.Kyoto Univ.) t.4. (1968) p. 51-130. Zbl0206.12901MR244773
3. [3] W. ArvesonSubalgebras of C* algebrasActa Math123 (1969) 141-224. Zbl0194.15701MR253059
4. [4] M. Choi et E. EffrosSeparable nuclear C* algebras and injectivity, (à paraître). Zbl0382.46026
5. [5] F. CombesPoids associé à une algèbre hilbertienne à gauche. (Compos. Math. t. 23 ( 1971 ) p. 49-77). Zbl0208.38201MR288590
6. [6] A. ConnesSur la classification des facteurs de type II . (CR. Acad. Sci.Paris t. 281 (1975) p. 13-15). Zbl0304.46042MR377534
7. [7] A. ConnesAlmost periodic states and factors of type III1 . J. Funct. Analysis16 (1974) p. 415-445. Zbl0302.46050MR358374
8. [8] A. ConnesUne classification des facteurs de type III . (Ann. Scient. Ecole Norm. Sup.4ème Serie tome 6 fasc. 2 (1973) p. 133-252). Zbl0274.46050MR341115
9. [9] A. ConnesClassification of injective factors. (Annals of Math.104 (1976) p. 73-115). Zbl0343.46042MR454659
10. [10] A. Connes et E. StørmerHomogeneity of the state space of factors of type III1. (Preprint). Zbl0408.46048
11. [11] A. Connes et E. StørmerEntropy for automorphisms of II1 von Neumann algebras. (Acta Math. t. 134 (1975) P. 289-306). Zbl0326.46032MR454657
12. [12] A. ConnesOuter conjugacy classes of automorphisms of factors. (Annales Scient. Ecole Norm. Sup.). Zbl0342.46052
13. [13] A. Connes et M. TakesakiThe flow of weights on factors of type III. (A paraître). Zbl0408.46047
14. [14] J. DixmierFormes linéaires sur un anneau d'opérateurs (Bull. Soc Math. France81 (1953 p. 9-39). Zbl0050.11501MR59485
15. [15] J. DixmierLes algèbres d'opérateurs dans l'espace hilbertien, 2ème édition Paris, Gauthier-Villars1969. Zbl0088.32304MR352996
16. [16] J. DixmierLes C* algèbres et leurs représentationsParisGauthier Villars. Zbl0174.18601
17. [17] D. Mc DuffCentral sequences and the hyperfinite factorProc. London Math. Soc.XXI (1970) p. 443-461. Zbl0204.14902MR281018
18. [18] H. DyeOn groups of measure preserving transformations I (Am. J. of Math. t. 81 (1959). p. 119-159. Zbl0087.11501MR131516
19. H. DyeOn groups of measure preserving transformations II (Am. J. of Math. t. 85 (1963) p. 551-576. Zbl0191.42803MR158048
20. [19] E. Effros et C. LanceTensor products of operator algebras. (A paraître). Zbl0372.46064
21. [20] G. Elliott et E. J. WoodsThe equivalence of various definitions of hyperfinitences of a property infinite von Neumann algebra (preprint). 
22. [21] G. ElliottOn the classification of inductive limits of sequences of semi-simple finite dim. algebras. J. of Algebra38 (1976), p. 29-44. Zbl0323.46063MR397420
23. [22] J. Feldman et C. MooreErgodic equivalence relations, cohomology and von Neumann algebras I, (à paraître). Zbl0369.22009
24. [23] V. Ya. GolodetsCross products of von Neumann algebrasY. Math. N.26 N° 5 (1971) p. 3-50, voir (A. Connes, P. Ghez, R. Lima, D. Testard et E.J. Woods : Review of a paper of Golodets). Zbl0225.46062MR410405
25. [24] U. HaagerupNormal weights on W* algebras, (J. Funct. Analysis t. 19 (1975) p. 302-317). Zbl0304.46043MR380438
26. [25] J. Hakeda et J. TomiyamaOn some extension properties of von Neumann algebras. (Tohoku Math. J. t. 19 (1967) p. 315-323). Zbl0175.14201MR222656
27. [26] B. JohnsonCohomology in Banach Algebras. Memoir A.M.S.127 (1972). Zbl0256.18014MR374934
28. [27] B. Johnson, R. V. Kadison et J. RingroseCohomology in operator algebras III, Bull. Soc. Math. France100 (1972) p. 73-96. Zbl0234.46066MR318908
29. [28] W. KriegerOn the Araki-Woods asymptotic ratio set and non singular transformations of a Measure space. (Dans "contributions to ergodic theory and probability, Lecture notes n° 160 (1970)). Zbl0213.34103MR414823
30. [29] W. KriegerOn ergodic flows and the isomorphism of factors. (Math. Ann.223 (1976) p. 19-70). Zbl0332.46045MR415341
31. [30] O. MarechalUne remarque sur un théorème de Glimm. (Bull. Soc. Math. France2ème Série 99 (1975) p. 41-44). Zbl0304.46035MR430797
32. [31] F.J. Murray et J. von NeumannOn rings of operators. (Ann. of Math. t. 37 (1936) p. 116-229). Zbl0014.16101MR1503275
33. [32] F.J. Murray et J. von NeumannOn rings of operators, II (Trans. Amer. Math. Soc. t. 41 (1937) p. 208-248). Zbl0017.36001MR1501899JFM63.1008.03
34. [33] J. von NeumannOn rings of operators III. (Ann. of Math. t. 41 (1940) p. 94-161). Zbl0023.13303MR898
35. [34] F.J. Murray et J. von NeumannOn rings of operators IV. (Ann. of Math. t. 44 (1943) p. 716-808). Zbl0060.26903MR9096
36. [35] J. von NeumannOn rings of operators : Reduction theory. (Ann. Math. t. 50 (1949) p. 401-485). Zbl0034.06102MR29101
37. [36] J. PhillipsAutomorphisms of full II1 factors with applications to type III factors. Zbl0394.46057
38. [37] R.T. PowersRepresentations of uniformly hyperfinite algebras and their associated von Neumann rings. (Ann. of Math. t. 86 (1967) p. 138-171). Zbl0157.20605MR218905
39. [38] P. SchieldsThe theory of Bernouilli shifts (Chicago press). Zbl0308.28011
40. [39] S. SakaiAutomorphisms and tensor products of operator algebras (à paraître dans American Journal of Math). Zbl0321.46052
41. [40] S. SakaiOn automorphism groups of type II factorsTohôku Math. J.26 (1974) p. 423-430. Zbl0303.46060MR380443
42. [41] S. SakaiC* and W* algebras. Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 60. Zbl0219.46042
43. [42] J. SchwartzTwo finite, non hyperfinite, non isomorphic factors. Comm. Pure Appl. Math.16 (1963) 19-26. Zbl0131.33201MR149322
44. [43] I. SegalA non commutative extension of abstract integration. Ann. of Math.57 (1953) p. 401-457. Zbl0051.34201MR54864
45. [44] M. TakesakiOn the cross norm of the direct product of C algebras. Tohoku Math. J.16 (1964) 111-122. Zbl0127.07302MR165384
46. [45] M. TakesakiTomita's theory of modular Hilbert algebras and its applications. (Lecture notes N° 128, Springer Verlag1970). Zbl0193.42502MR270168
47. [46] M. TakesakiDuality in cross products and the structure of von Neumann algebras of type III. Acta Math.131 (1973) p. 249-310. Zbl0268.46058MR438149
48. [47] J. TomiyamaOn the projection of norm one in W algebras. Proc. Japan Acad.33 (1957) 608-612. Zbl0081.11201MR96140
49. [48] J. VesterstrømQuotients of finite W* algebras (J. Funct. Analysis t. 9 (1972) p. 322-335). Zbl0227.46070MR296715
50. [49] F.J. YeadonA new proof of the existence of a traceon a finite von Neumann algebra. (Bull. Am. Math. Soc. t. 77 (1971), p. 257-260). Zbl0241.46057MR271748

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