On the commutation theorem for tensor products of von Neumann algebras
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- by R. Rousseau, Alfons van Daele and L. Vanheeswijck PDF
- Proc. Amer. Math. Soc. 61 (1976), 179-180 Request permission
Abstract:
It is shown that the commutation theorem for tensor products of general von Neumann algebras follows trivially from the case of von Neumann algebras with a separating and cyclic vector.References
- Marc A. Rieffel and Alfons Van Daele, The commutation theorem for tensor products of von Neumann algebras, Bull. London Math. Soc. 7 (1975), no. 3, 257–260. MR 383096, DOI 10.1112/blms/7.3.257
- Shôichirô Sakai, $C^*$-algebras and $W^*$-algebras, Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 60, Springer-Verlag, New York-Heidelberg, 1971. MR 0442701
- 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, DOI 10.1007/BFb0065832
Additional Information
- © Copyright 1976 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 61 (1976), 179-180
- MSC: Primary 46L10
- DOI: https://doi.org/10.1090/S0002-9939-1976-0428061-0
- MathSciNet review: 0428061