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Zbl 0421.46048
Bratteli, Ola; Robinson, Derek W.
Operator algebras and quantum statistical mechanics 1. C*- and W*- algebras, symmetry groups, decomposition of states. (English)
[B] Texts and Monographs in Physics. New York - Heidelberg - Berlin: Springer-Verlag. XII, 500 p. DM 68.00; \$ 37.40 (1979).

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MSC 2000:: *46L05 General theory of C*-algebras
46L10 General theory of von Neumann algebras
82B10 Quantum equilibrium statistical mechanics (general)
46-02 Research monographs (functional analysis)
46L60 Appl. of selfadjoint operator algebras to physics

Keywords: quantum statistical mechanics; Tomita-Takesaki theory; structure theory of von Neumann algebras; quasi-local algebras; decomposition theory of states; reduction theory; barycentric decomposition theory; maximal measures; orthogonal measures; Borel structure in the state space; automorphism group

Citations: Zbl 0391.46048

Cited in: Zbl 0777.46037 Zbl 0905.46046 Zbl 0619.46056 Zbl 0532.46040 Zbl 0523.46043 Zbl 0463.46052

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