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Periodic and homogeneous states on a von Neumann algebra. II


Author: Masamichi Takesaki
Journal: Bull. Amer. Math. Soc. 79 (1973), 416-420
MSC (1970): Primary 46L10
Part I: Bull. Amer. Math. Soc., Volume 79, Number 1 (1973), 202--206
Part III: Bull. Amer. Math. Soc., Volume 79, Number 3 (1973), 559--563
MathSciNet review: 0313830
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  • 1. Alain Connes, Un nouvel invariant pour les algèbres de von Neumann, C. R. Acad. Sci. Paris Sér. A-B 273 (1971), A900–A903 (French). MR 0290119
  • 2. Alain Connes, Calcul des deux invariants d’Araki et Woods par la théorie de Tomita et Takesaki, C. R. Acad. Sci. Paris Sér. A-B 274 (1972), A175–A177 (French). MR 0293406
  • 3. Alain Connes, Groupe modulaire d’une algèbre de von Neumann, C. R. Acad. Sci. Paris Sér. A-B 274 (1972), A1923–A1926 (French). MR 0303305
  • 4. Alain Connes, États presque périodiques sur une algèbre de von Neumann, C. R. Acad. Sci. Paris Sér. A-B 274 (1972), A1402–A1405 (French). MR 0295092
  • 5. A. Connes, A letter to the author, dated June 17, 1972.
  • 6. Jacques Dixmier, Les algèbres d’opérateurs dans l’espace hilbertien (Algèbres de von Neumann), Cahiers scientifiques, Fascicule XXV, Gauthier-Villars, Paris, 1957 (French). MR 0094722
  • 7. Erling Størmer, Spectra of states and asymptotically abelian 𝐶*-algebras, Papers from the “Open House for Functional Analysts” (Aarhus Univ., Aarhus, 1972) Mat. Inst., Aarhus Univ., Aarhus, 1972, pp. 7 pp. Various Publications Ser., No. 23. MR 0448095
  • 8. M. Takesaki, Tomita’s theory of modular Hilbert algebras and its applications, Lecture Notes in Mathematics, Vol. 128, Springer-Verlag, Berlin-New York, 1970. MR 0270168
  • 9. Masamichi Takesaki, Periodic and homogeneous states on a von Neumann algebra, Bull. Amer. Math. Soc. 79 (1973), 202–206. MR 0306936, 10.1090/S0002-9904-1973-13154-4

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DOI: http://dx.doi.org/10.1090/S0002-9904-1973-13194-5