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Sufficiency, KMS
condition and relative entropy in von Neumann algebras
Fumio Hiai, Masanori Ohya and Makoto Tsukada |
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Vol. 96 (1981), No. 1, 99–109
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Abstract |
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The sufficiency in von Neumann algebras is discussed with some applications to classification of normal states. It is shown that the concept of sufficiency characterizes the KMS-states and the invariant states with respect to a modular automorphism group. The relations between the sufficiency and the relative entropy are established. |
Mathematical Subject Classification 2000
Primary: 46L30
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Milestones
Received: 13 March 1979
Revised: 4 January 1980
Published: 1 September 1981
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Authors |
| Fumio Hiai | |
| Masanori Ohya | |
| Makoto Tsukada | |
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