Tomita's Theory of Modular Hilbert Algebras and its Applications
Takesaki, M.
Tomita's Theory of Modular Hilbert Algebras and its Applications [electronic resource] / by M. Takesaki. - IV, 124 p. online resource. - Lecture Notes in Mathematics, 128 0075-8434 ; . - Lecture Notes in Mathematics, 128 .
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.
9783540362678
10.1007/BFb0065832 doi
Mathematics.
Mathematics, general.
QA1-939
510
Tomita's Theory of Modular Hilbert Algebras and its Applications [electronic resource] / by M. Takesaki. - IV, 124 p. online resource. - Lecture Notes in Mathematics, 128 0075-8434 ; . - Lecture Notes in Mathematics, 128 .
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.
9783540362678
10.1007/BFb0065832 doi
Mathematics.
Mathematics, general.
QA1-939
510