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Bulletin of the American Mathematical Society

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Direct integral theory for weights, and the Plancherel formula


Author: Colin E. Sutherland
Journal: Bull. Amer. Math. Soc. 80 (1974), 456-461
MSC (1970): Primary 46K15; Secondary 46L10, 46L05, 43A10
MathSciNet review: 0338789
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References [Enhancements On Off] (What's this?)

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  • 2. Jacques Dixmier, Les algèbres d’opérateurs dans l’espace hilbertien (algèbres de von Neumann), Gauthier-Villars Éditeur, Paris, 1969 (French). Deuxième édition, revue et augmentée; Cahiers Scientifiques, Fasc. XXV. MR 0352996
  • 3. George W. Mackey, Unitary representations of group extensions. I, Acta Math. 99 (1958), 265–311. MR 0098328
  • 4. M. Takesaki, Theory of operator algebras, U.C.L.A. Lecture Notes, 1969.
  • 5. Gert K. Pedersen and Masamichi Takesaki, The Radon-Nikodym theorem for von Neumann algebras, Acta Math. 130 (1973), 53–87. MR 0412827
  • 6. Nobuhiko Tatsuuma, Plancherel formula for non-unimodular locally compact groups, J. Math. Kyoto Univ. 12 (1972), 179–261. MR 0299729

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DOI: http://dx.doi.org/10.1090/S0002-9904-1974-13448-8