Abstract
It is shown that a finitely additive measure on the projections of a von Neumann algebra withoutI 2 andII 1 summands is the restriction of a state. A definition of a physical state is proposed, and it is shown that such a physical state on a simpleC*-algebra with unit is a state.
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Communicated by H. Araki
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Christensen, E. Measures on projections and physical states. Commun.Math. Phys. 86, 529–538 (1982). https://doi.org/10.1007/BF01214888
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DOI: https://doi.org/10.1007/BF01214888