Periodic and homogeneous states on a von Neumann algebra. I
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- by Masamichi Takesaki PDF
- Bull. Amer. Math. Soc. 79 (1973), 202-206
References
- Huzihiro Araki and E. J. Woods, A classification of factors, Publ. Res. Inst. Math. Sci. Ser. A 4 (1968/1969), 51–130. MR 0244773, DOI 10.2977/prims/1195195263
- 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 290119
- 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 293406 4. A. Connes, Groupe modulaire d’une algebre de von Neumann de genre denombrable (to appear).
- Jacques Dixmier, Les algèbres d’opérateurs dans l’espace hilbertien (Algèbres de von Neumann), Cahiers Scientifiques, Fasc. XXV, Gauthier-Villars, Paris, 1957 (French). MR 0094722
- Ernest L. Griffin Jr., Some contributions to the theory of rings of operators, Trans. Amer. Math. Soc. 75 (1953), 471–504. MR 59487, DOI 10.1090/S0002-9947-1953-0059487-4
- Richard H. Herman and Masamichi Takesaki, States and automorphism groups of operator algebras, Comm. Math. Phys. 19 (1970), 142–160. MR 270167
- Robert T. Powers, Representations of uniformly hyperfinite algebras and their associated von Neumann rings, Ann. of Math. (2) 86 (1967), 138–171. MR 218905, DOI 10.2307/1970364
- Erling Størmer, Spectra of states and asymptotically abelian $C^*$-algebras, Papers from the “Open House for Functional Analysts” (Aarhus Univ., Aarhus, 1972) Various Publications Ser., No. 23, Mat. Inst., Aarhus Univ., Aarhus, 1972, pp. 7. MR 0448095
- 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 11. M. Takesaki, States and automorphisms of operator algebras. Standard representations and the Kubo-Martin-Schwinger boundary condition, Summer Rencontres in Mathematics and Physics, Battelle Seattle, 1971.
Additional Information
- Journal: Bull. Amer. Math. Soc. 79 (1973), 202-206
- MSC (1970): Primary 46L10
- DOI: https://doi.org/10.1090/S0002-9904-1973-13154-4
- MathSciNet review: 0306936