Maximal abelian subalgebras of hyperfinite factors
HTML articles powered by AMS MathViewer
- by Ole A. Nielsen
- Trans. Amer. Math. Soc. 146 (1969), 259-272
- DOI: https://doi.org/10.1090/S0002-9947-1969-0254620-5
- PDF | Request permission
References
- Salvatore Anastasio, Maximal abelian subalgebras in hyperfinite factors, Amer. J. Math. 87 (1965), 955–971. MR 215109, DOI 10.2307/2373256
- 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
- D. J. C. Bures, Certain factors constructed as infinite tensor products, Compositio Math. 15 (1963), 169–191 (1963). MR 151826
- J. Dixmier, Sous-anneaux abéliens maximaux dans les facteurs de type fini, Ann. of Math. (2) 59 (1954), 279–286 (French). MR 59486, DOI 10.2307/1969692 —, Les algèbres d’opérateurs dans l’espace Hilbertien, Gauthier-Villars, Paris, 1957.
- F. J. Murray and J. von Neumann, On rings of operators. IV, Ann. of Math. (2) 44 (1943), 716–808. MR 9096, DOI 10.2307/1969107
- 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
- L. Pukánszky, Some examples of factors, Publ. Math. Debrecen 4 (1956), 135–156. MR 80894, DOI 10.5486/pmd.1956.4.3-4.05
- Lajos Pukánszky, On maximal abelian subrings of factors of type $\textrm {II}_{1}$, Canadian J. Math. 12 (1960), 289–296. MR 113154, DOI 10.4153/CJM-1960-024-7
- Teishirô Saitô and Jun Tomiyama, Some results on the direct product of $W^{\ast }$-algebras, Tohoku Math. J. (2) 12 (1960), 455–458. MR 142008, DOI 10.2748/tmj/1178244406
- Rita Jean Tauer, Maximal abelian subalgebras in finite factors of type II, Trans. Amer. Math. Soc. 114 (1965), 281–308. MR 182892, DOI 10.1090/S0002-9947-1965-0182892-0
- Rita Jean Tauer, Semi-regular maximal abelian subalgebras in hyperfinite factors, Bull. Amer. Math. Soc. 71 (1965), 606–608. MR 178375, DOI 10.1090/S0002-9904-1965-11355-6
- Sister Rita Jean Tauer, $M$-semiregular subalgebras in hyperfinite factors, Trans. Amer. Math. Soc. 129 (1967), 530–541. MR 217612, DOI 10.1090/S0002-9947-1967-0217612-6
Bibliographic Information
- © Copyright 1969 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 146 (1969), 259-272
- MSC: Primary 46.65
- DOI: https://doi.org/10.1090/S0002-9947-1969-0254620-5
- MathSciNet review: 0254620