An example of a weight with type III centralizer
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- by Uffe Haagerup PDF
- Proc. Amer. Math. Soc. 62 (1977), 278-280 Request permission
Abstract:
We give an example of a weight $\phi$ on the hyperfinite type ${\text {II}_\infty }$ factor R, such that the centralizer ${M_\phi }$ of $\phi$ is a type III von Neumann algebra.References
- François Combes, Poids et espérances conditionnelles dans les algèbres de von Neumann, Bull. Soc. Math. France 99 (1971), 73–112 (French). MR 288589 F. Combes and C. Delaroche, Groupe modulaire d’une espérance conditionnelle dans une algèbre de von Neumann, Université d’Orléans, 1974 (preprint). A. Connes and M. Takesake, Flow of weights on factors of type III, 1975 (preprint).
- Gert K. Pedersen and Masamichi Takesaki, The Radon-Nikodym theorem for von Neumann algebras, Acta Math. 130 (1973), 53–87. MR 412827, DOI 10.1007/BF02392262 Shôichirô Sakai, ${C^\ast }$-algebras and ${W^\ast }$-algebras, Springer-Verlag, Berlin, 1971.
Additional Information
- © Copyright 1977 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 62 (1977), 278-280
- MSC: Primary 46L10
- DOI: https://doi.org/10.1090/S0002-9939-1977-0430801-2
- MathSciNet review: 0430801