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In the theory of von Neumann algebras, a part of the mathematical field of functional analysis, Tomita–Takesaki theory is a method for constructing modular automorphisms of von Neumann algebras from the polar decomposition of a certain involution.
rdfs:label
Tomita–Takesaki theory
rdfs:seeAlso
dbr:Commutation_theorems
dbo:abstract
In the theory of von Neumann algebras, a part of the mathematical field of functional analysis, Tomita–Takesaki theory is a method for constructing modular automorphisms of von Neumann algebras from the polar decomposition of a certain involution. It is essential for the theory of type III factors, and has led to a good structure theory for these previously intractable objects.The theory was introduced by Minoru Tomita (1967), but his work was hard to follow and mostly unpublished, and little notice was taken of it until Masamichi Takesaki (1970) wrote an account of Tomita's theory.
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2018-05-07T18:45:45Z 2016-08-19T06:44:09Z
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2018-01-14T03:18:43Z
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dbp:authorlink
Minoru Tomita Masamichi Takesaki
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InternetArchiveBot
dbp:date
January 2018
dbp:first
A. A.I. Minoru Masamichi
dbp:id
T/t120150 H/h047230
dbp:last
Shtern Takesaki Tomita Inoue
dbp:title
Hilbert algebra Tomita–Takesaki theory
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1967 1970
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dbc:Von_Neumann_algebras dbc:Operator_theory
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yes