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Thaheem, A. B.
A note on states of von Neumann algebras. (English). Aplikace matematiky, vol. 24 (1979), issue 3, pp. 199-200
MSC: 46L30, 46L45, 46L60, 81T05 | MR 0530907 | Zbl 0427.46045 | DOI: 10.21136/AM.1979.103796
Keywords:
states of von Neumann algebras; projections; direct sum decomposition; quantum field theory
Summary:
The author proves that on a von Neumann albebra (possibly of uncountable cardinality) there exists a family of states having mutually orthogonal supports (projections) converging to the identity operator.
References:
[1 ] S. Sakai: $C^*$-algebras and $W^*$-algebras. Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 60. Springer-Verlag, Berlin, 1971. MR 0442701 | Zbl 0233.46074
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