Geodesic
On Some Non-Hyperfinite Factors of Type III
Canadian mathematical bulletin, Tome 18 (1975) no. 5, pp. 643-648

Voir la notice de l'article provenant de la source Cambridge University Press

In 1967, Powers [7] proved that there exists a one-parameter family of pairwise non-isomorphic hyperfinite factors of type III. Powers′ result on hyperfinite factors has been extended by Araki and Woods [1]. Connes [4], and Williams [11], with different proofs, showed that there exists a continuous family of mutually non-isomorphic non-hyperfinite factors of type III.
DOI : 10.4153/CMB-1975-113-7
Mots-clés : 46L10, Factors of type III, non-hyperfinite, spacial isomorphism 
Ching, Wai-Mee. On Some Non-Hyperfinite Factors of Type III. Canadian mathematical bulletin, Tome 18 (1975) no. 5, pp. 643-648. doi: 10.4153/CMB-1975-113-7
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[1] 1. Araki, H. and Woods, E. J., A classification of factors, Publ. R.I.M.S. Kyoto Univ. Ser. A, 3 (1968), 51-130. Google Scholar

[2] 2. Ching, W., Non-isomorphic non-hyperfinite factors, Canad. J. Math. 21 (1969), 1293-1308. Google Scholar

[3] 3. Ching, W., A continuum of non-isomorphic non-hyperfinite factors, Comm. Pure Appl. Math., 23 (1970), 921-937. Google Scholar

[4] 4. Connes, A., Une classification der facteurs de type HI, Ann. scien. l'école Normale Sup. 4e sér. (2), 6 (1973), 133-252. Google Scholar

[5] 5. Dixmier, J.. Les Algèbres d'operateurs dans VEspace Hilbertien, 2e Edition, Gauthier-Villars, Paris, 1969. Google Scholar

[6] 6. von Neumann, J., On rings of operators HI, Ann. Math. (2) 41 (1940), 94-161. Google Scholar

[7] 7. Powers, R., Representations of uniformly hyperfinite algebras and their associated von Neumann rings, Ann. Math. 86 (1967), 138-171. Google Scholar

[8] 8. Sakai, S., An uncountable family of non-hyperfinite type III factors, Functional Analysis, Academic Press, New York, 1970, 65-70. Google Scholar

[9] 9. Schwartz, J. T., Recent progress in the structure theory of factors, Functional Analysis, Academic Press, New York, 1970, 37-53. Google Scholar

[10] 10. Takesaki, M., Tomitds Theory of Modular Hilbert Algebras and its Applications, Lecture Notes in Math., vol. 128, Springer-Verlag, Berlin and New York, 1970. Google Scholar

[11] 11. Williams, J. J., Non-isomorphic tensor product of von Neumann algebras, Canad. J. Math., 26 (1974), 492-512. Google Scholar

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