[PDF.55po] Tomita-Takesaki Theory in Algebras of Unbounded Operators (Lecture Notes in Mathematics)

Tomita-Takesaki Theory in Algebras of Unbounded Operators (Lecture Notes in Mathematics)

[PDF.ii63] Tomita-Takesaki Theory in Algebras of Unbounded Operators (Lecture Notes in Mathematics)

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 | #7361909 in Books |  Springer |  2008-06-13 | Original language:English | PDF # 1 |  9.25 x.57 x6.10l,.79 | File type: PDF | 244 pages

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These notes are devoted to a systematic study of developing the Tomita-Takesaki theory for von Neumann algebras in unbounded operator algebras called O*-algebras and to its applications to quantum physics. The notions of standard generalized vectors and standard weights for an O*-algebra are introduced and they lead to a Tomita-Takesaki theory of modular automorphisms. The Tomita-Takesaki theory in O*-algebras is applied to quantum moment problem, quantum statistical mec...

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