The Radon–Nikodym theorem for -spaces of -algebras
Lothar M. Schmitt
Universität des Saarlandes, Saarbrücken, Germany
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Abstract
We prove an analogue of Sakai's [15] Radon–Nikodym theorem for -spaces of -algebras. Following Takesaki [20] we characterize the Radon–Nikodym derivatives by analytic extensions of modular automorphism groups. Finally we relate the facial structure in -spaces of -algebras to Connes' [2] unitary Radon–Nikodym cocycles.
Cite this article
Lothar M. Schmitt, The Radon–Nikodym theorem for -spaces of -algebras. Publ. Res. Inst. Math. Sci. 22 (1986), no. 6, pp. 1025–1034
DOI 10.2977/PRIMS/1195177060