TOMITA-TAKESAKI THEORY

Minoru Tomita - 1924 02 06 09 10 2015 Japan - 1967 manuscript Theory of modular automorphisms of von Neumann Algebras.

Masamichi Takesaki - 1933 07 18 Sendai, Tohoku University Japan - 1970 Theory of modular Hilbert Algebras and its applications (revision of 1967 Japanese manuscript Theory of modular automorphisms of von Neumann Algebras).

Please find linked:

• Toshihiko Masuda, Math. J. Okayama Univ. 60 (2018), 37–58, TOMITA-TAKESAKI THEORY AND ITS APPLICATION TO THE STRUCTURE THEORY OF FACTORS OF TYPE III
• Modular theory

Classification of von Neumann Algebra

• Structure Theory based on factor Type I or II or III.

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• Roberto Longo- 05 05 2020 University of Rome II - Mathematical Picture Language Seminar - The Information in a Wave, arxiv 1906.01707
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  • Information contained in the net of von Neumann Algebra.
  • Entropy for infinite dimensional system: Araki’s Relative Entropy between two faithful normal states.
• Zhengan Wang - 06 10 2020 University of California Santa Barbara - Reconstructing CFT from TQFT: Anyon statistics generalize Fermion and Boson statistics, Math foundations Topological Quantum Computing
• Lecture Notes Algebraic QFT