Direct integrals of left Hilbert algebras

Christopher Lance

doi:10.1007/bf02547968

journal article Jul 01, 1975

Direct integrals of left Hilbert algebras

Christopher Lance

Mathematische Annalen Vol. 216 No. 1 pp. 11-28 · Springer Science and Business Media LLC

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The Borel space of von Neumann algebras on a separable Hilbert space

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Pacific Journal of Mathematics 1965 10.2140/pjm.1965.15.1153

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Kallman, R.R.: Groups of inner automorphisms of von Neumann algebras. J. Functional Analysis7, 43–60 (1971) 10.1016/0022-1236(71)90043-7

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Lance, E.C.: Refinement of direct integral decompositions (to appear in Bull. London Math. Soc.)

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Nielsen, O.A.: Borel sets of von Neumann algebras. Amer. J. Math.95, 145–164 (1973) 10.2307/2373648

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Pallu de la Barrière, R.: Décomposition des opérateurs non bornés dans les sommes continues d'espaces de Hilbert. C.R. Acad. Sci.232, 2071–2073 (1951)

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Schwartz, J.T.: Type II factors in a central decomposition. Comm. Pure Appl. Math.16, 247–252 (1963) 10.1002/cpa.3160160302

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Segal, I.E.: An extension of Plancherel's formula to separable unimodular groups. Ann. of Math.52, 272–292 (1950) 10.2307/1969470

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Sutherland, C.E.: Direct integral theory for weights, and the Plancherel formula (to appear in J. Functional Analysis)

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Sutherland, C.E.: Crossed products, direct integrals and Connes classification of type III factors (to appear)

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Takesaki, M.: Remarks on the reduction theory of von Neumann algebras. Proc. Amer. Math. Soc.20, 434–438 (1969) 10.1090/s0002-9939-1969-0239434-x

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Published: Jul 01, 1975
Vol/Issue: 216(1)
Pages: 11-28
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Christopher Lance

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Christopher Lance (1975). Direct integrals of left Hilbert algebras. Mathematische Annalen, 216(1), 11-28. https://doi.org/10.1007/bf02547968

Direct integrals of left Hilbert algebras

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