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C*-algebraic generalization of relative entropy and entropy. (English) Zbl 0526.46060


MSC:

46L30 States of selfadjoint operator algebras
46L60 Applications of selfadjoint operator algebras to physics
46L55 Noncommutative dynamical systems
82B10 Quantum equilibrium statistical mechanics (general)
94A17 Measures of information, entropy
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References:

[1] H. Araki , Publ. RIMS Kyoto Univ ., t. 11 , 1975 - 1976 , p. 809 . MR 425631 | Zbl 0326.46031 · Zbl 0326.46031
[2] V.P. Belavkin , P. Staszewski , Conditional entropy in algebraic statistical physics , Rep. Math. Phys. , in press. MR 782447 | Zbl 0587.46056 · Zbl 0587.46056
[3] O. Bratteli , D. Robinson , Operator Algebras and Quantum Statistical Mechanics , t. 1 , 1979 , Springer-Verlag , New York . MR 545651 | Zbl 0421.46048 · Zbl 0421.46048
[4] J. Naudts , Commun. Math. Phys. , t. 37 , 1974 , p. 175 . Article | MR 438146 | Zbl 0291.46047 · Zbl 0291.46047
[5] A. Wehrl , Rev. Mod. Phys. , t. 50 , 1978 , p. 221 . MR 496300
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