Tomita's Theory of Modular Hilbert Algebras and its Applications [electronic resource] / by M. Takesaki.
Material type: TextSeries: Lecture Notes in Mathematics ; 128Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1970Description: IV, 124 p. online resourceContent type:- text
- computer
- online resource
- 9783540362678
- 510 23
- QA1-939
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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