Tomita's theory of modular Hilbert algebras and its applications
著者
書誌事項
Tomita's theory of modular Hilbert algebras and its applications
（Lecture notes in mathematics, 128）
Springer-Verlag, 1970
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注記
Bibliography: p. [121]-123
内容説明・目次
目次
Preliminaries.- Modular Hilbert algebras.- Generalized Hilbert algebras.- The commutation theorem for modular Hilbert algebras.- Self-adjoint subalgebras of generalized Hilbert algebras.- The spectral algebra.- The modular operator ?.- The resolvent of the modular operator ?.- The one-parameter automorphisms defined by the modular operator ?.- Formulation of the modular Hilbert algebra.- Tensor product and direct sum of modular Hilbert algebras.- The standard representation of von Neumann algebras.- The modular automorphism group and the Kubo-Martin-Schwinger boundary condition.- Semi-finiteness and the modular automorphism group.
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