Tomita's Theory of Modular Hilbert Algebras and its Applications

1970/01/01 by Masamichi Takesaki, M. Takesaki · 12 citations
Computer Science · Mathematics · #Advanced Algebra and Logic #Advanced Topics in Algebra #Algebra over a field #Computer science #Mathematics #Modular design #Programming language #Pure mathematics #Rings, Modules, and Algebras

paper · doi:10.1007/bfb0065832

crossref issued 1970/01/01 · crossref published 1970/01/01 · crossref published-print 1970/01/01 · openalex publication_date 1970/01/01 · crossref created 2006/11/30 · crossref deposited 2019/04/05 · openalex created_date 2025/10/10 · crossref indexed 2026/07/23 · openalex updated_date 2026/07/27

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• Admissible vectors and Hilbert algebras
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• Exponential arcs in the manifold of vector states on a σ-finite von Neumann algebra
• Locally Compact Quantum Groups. A von Neumann Algebra Approach
• Thermal field dynamics and bialgebras
• A short survey of noncommutative geometry
• On revolutionizing quantum field theory with Tomita’s modular theory
• The Dirac Operator on SUq(2)
• EXTENSION OF THE STRUCTURE THEOREM OF BORCHERS AND ITS APPLICATION TO HALF-SIDED MODULAR INCLUSIONS
• Relative entropy of single-mode squeezed states in Quantum Field Theory
• Tomita–Takesaki theory [wikipedia]