Algebraic aspects in modular theory
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Publication:1328901
DOI10.2977/prims/1195167738zbMath0809.46075OpenAlexW2042757089MaRDI QIDQ1328901
Publication date: 29 June 1994
Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2977/prims/1195167738
Free probability and free operator algebras (46L54) General theory of von Neumann algebras (46L10) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51)
Related Items
Bicommutant categories from fusion categories, A classification for 2-isometries of noncommutative \(L_p\)-spaces, Crossed products in bimodules, Kakutani dichotomy on free states, A Connes correspondence approach to the dilation theory, Amenable tensor categories and their realizations as AFD bimodules, GEOMETRY OF QUASI-FREE STATES OF CCR ALGEBRAS, Noncommutative \(L^p\) structure encodes exactly Jordan structure, The General Form of γ-Family of Quantum Relative Entropies, Geometric mean of states and transition amplitudes, Notes on the bicategory of \(\mathrm{W}^\ast\)-bimodules, HNN extensions of von Neumann algebras
Cites Work
- Duality for crossed products and the structure of von Neumann algebras of type III
- Applications of the complex interpolation method to a von Neumann algebra: non-commutative \(L^ p\)-spaces
- Extension of Jones' theory on index of arbitrary factors
- Operator valued weights in von Neumann algebras. II
- Les espaces \(L^ p\) d'une algebre de von Neumann definies par la derivee spatiale
- A remark on the minimal index of subgfactors
- Notes on non-commutative integration
- Modular theory for bimodules
- Positive cones and \(L^p\)-spaces for von Neumann algebras
- Tomita's theory of modular Hilbert algebras and its applications
- The Radon-Nikodym theorem for von Neumann algebras
- Integration Theorems For Gages and Duality for Unimodular Groups
- Duality Theory for Covariant Systems
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