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AuthorTakesaki, M. author
TitleTomita's Theory of Modular Hilbert Algebras and its Applications [electronic resource] / by M. Takesaki
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg, 1970
Connect tohttp://dx.doi.org/10.1007/BFb0065832
Descript IV, 124 p. online resource

CONTENT

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


Mathematics Mathematics Mathematics general



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