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- W2017568144 abstract "Let M be a von Neumann algebra with separating and cyclic vector ξ0. The map xξ0 → x∗ξ0 with x ϵ M has a least closed extension S. Tomita proved that the isometric involution J and the positive self-adjoint operator Δ obtained from the polar decomposition S = JΔ12 of S satisfy JMJ = M′ and ΔitMΔ−it = M for any real t. More generally, he obtained similar results for the left von Neumann algebra of any generalized Hilbert algebra. In this paper a shorter proof of his results is given." @default.
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- W2017568144 date "1974-04-01" @default.
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- W2017568144 title "A new approach to the Tomita-Takesaki theory of generalized Hilbert algebras" @default.
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- W2017568144 doi "https://doi.org/10.1016/0022-1236(74)90029-9" @default.
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