http://dbpedia-live.openlinksw.com:8891/sparql?query=define%20sql%3Adescribe-mode%20%22CBD%22%20%20DESCRIBE%20%3Chttp%3A%2F%2Fdbpedia.org%2Fresource%2FTomita%E2%80%93Takesaki_theory%3E&output=application%2Fatom%2Bxml2021-03-07T10:49:17.974801ZOData Service and Descriptor Documenthttp://dbpedia.org/resource/Tomita–Takesaki_theory2021-03-07T10:49:17.974801ZyesInoueMinoru Tomita2016-08-19 06:44:09ZMinoruIn 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.Tomita–Takesaki theory954319672898625820305606ShternMasamichi2018-01-14 03:18:43ZJanuary 2018H/h04723015InternetArchiveBot2018-05-07 18:45:45ZTakesakiTomita–Takesaki theoryIn 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intractable objects.The theory was introduced by Minoru Tomita (1967), but his work was hard to follow and mostly unpublished, and little notice was taken of it until Masamichi Takesaki (1970) wrote an account of Tomita's theory.A.I.T/t120150Masamichi TakesakiHilbert algebraA.Tomita1970