Voir la notice de l'article provenant de la source Cambridge University Press
Williams, J. J. Non-Isomorphic Tensor Products of Von Neumann Algebras. Canadian journal of mathematics, Tome 26 (1974) no. 2, pp. 492-512. doi: 10.4153/CJM-1974-047-8
@article{10_4153_CJM_1974_047_8,
author = {Williams, J. J.},
title = {Non-Isomorphic {Tensor} {Products} of {Von} {Neumann} {Algebras}},
journal = {Canadian journal of mathematics},
pages = {492--512},
year = {1974},
volume = {26},
number = {2},
doi = {10.4153/CJM-1974-047-8},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1974-047-8/}
}
[1] 1. Araki, H., Asymptotic ratio set and property L′, Publ. Res. Inst. Math. Sci., Ser. A6 (1970), 443–460. Google Scholar
[2] 2. Araki, H. and Woods, E. J., Complete Boolean algebras of type I factors, Publ. Res. Inst. Math. Sci., Ser. A. 2 (1966), 157–242. Google Scholar
[3] 3. Araki, H. and Woods, E. J., A classification of factors, Publ. Res. Inst. Math. Sci., Ser. A. 4 (1968), 51–130. Google Scholar
[4] 4. Bures, D. J. C., Certain factors constructed as infinite tensor products, Compositio Math. 15 (1963), 169–191. Google Scholar
[5] 5. Bures, D. J. C., Tensor products of W*-algebras, Pacific J. Math. 27 (1968), 13–37. Google Scholar
[6] 6. Ching, W. M., A continuum of non-isomorphic non-hyper finite factors, Comm. Pure Appl. Math. 23 (1970), 921–937. Google Scholar
[7] 7. Connes, A., Calcul des deux invariants d'Araki et Woods par la théorie de Tomita et Takesaki, C. R. Acad. Sci. Paris Ser. A-B. 274 (1972), 175–177. Google Scholar
[8] 8. Dixmier, J., Les algèbres d'opérateurs dans l'espace Hilbertien, Deuxième Édition (Gauthier- Villars, Paris, 1969). Google Scholar
[9] 9. Hakeda, J. and Tomiyama, J., On some extension properties of von Neumann algebras, Tôhoku Math. J. 19 (1967), 315–323. Google Scholar
[10] 10. Kadison, R. V., Isometries of operator algebras, Ann. of Math. 54 (1951), 325–338. Google Scholar
[11] 11. Kaplansky, I., A theorem on rings of operators, Pacific J. Math. 1 (1951), 227–232. Google Scholar
[12] 12. Loomis, L. H., The lattice theoretic background of the dimension theory, Mem. Amer. Math. Soc. 18 (1955). Google Scholar
[13] 13. Murray, F. J. and von Neumann, J., On rings of operators, Ann. of Math. 37 (1936), 116–229. Google Scholar
[14] 14. Murray, F. J. and J. von Neumann, On rings of operators, IV, Ann. of Math. 44 (1943), 716–808. Google Scholar
[15] 15. von Neumann, J., On infinite direct products, Compositio Math. 6 (1938), 1–77. Google Scholar
[16] 16. von Neumann, J., On rings of operators, III, Ann. of Math. 41 (1940), 94–161. Google Scholar
[17] 17. Powers, R. T., Representations of uniformly hyperfinite algebras and their associated von Neumann rings, Ann. of Math. 86 (1967), 138–171. Google Scholar
[18] 18. Powers, R. T., U H F algebras and their applications to representations of the anticommutation relations, Cargèse lectures in physics 4 (1970), (ed. D. Kastler), 137–168. Google Scholar
[19] 19. Pukânszky, L., Some examples of factors, Publ. Math. Debrecen 4 (1956), 135–156. Google Scholar
[20] 20. Sakai, S., An uncountable family of non-hyper finite type III factors, Functional Analysis (ed. C. O. Wilde;) (Academic Press, New York, 1970), 65-70. Google Scholar
[21] 21. Schwartz, J. T., Two finite, non-hyper finite, non-isomorphic factors, Comm. Pure Appl. Math. 16 (1963), 19–26. Google Scholar
[22] 22. Schwartz, J. T., W*-algebras (Gordon and Breach, New York, 1967). Google Scholar
[23] 23. Takenouchi, O., On type classification of factors constructed as infinite tensor products, Publ. Res. Inst. Math. Sci. Ser. A 4 (1968), 467–482. Google Scholar
[24] 24. Tomiyama, J., On the projection of norm one in W*-algebras, Proc. Japan Acad. 33 (1957), 608–612. Google Scholar
Cité par Sources :