Direct integrals of selfdual cones and standard forms of von Neumann algebras

DOI10.1007/BF01390322zbMath0354.46044MaRDI QIDQ1236768

Wolfgang Bös

Publication date: 1976

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/142437

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Ordered topological linear spaces, vector lattices (46A40)

Related Items (16)

Quantum Griffiths inequalities ⋮ Monotonicity of the polaron energy. II: General theory of operator monotonicity ⋮ Ground state properties of the periodic Anderson model with electron-phonon interactions ⋮ Note on the one-dimensional Holstein-Hubbard model ⋮ On the semigroup generated by the renormalized Nelson Hamiltonian ⋮ On renormalized Hamiltonian nets ⋮ Rigorous results concerning the Holstein-Hubbard model ⋮ Ground state properties of the SSH model ⋮ Monotonicity of the polaron energy ⋮ Homogeneous self dual cones, versus Jordan algebras. The theory revisited ⋮ A classification for selfdual cones in Hilbert space ⋮ Electron-phonon interaction in Kondo lattice systems ⋮ Correlation inequalities for Schrödinger operators ⋮ SELF-DUAL CONE ANALYSIS IN CONDENSED MATTER PHYSICS ⋮ Stability of ferromagnetism in many-electron systems ⋮ Direct integrals of standard forms of \(W^*\)-algebras

Cites Work

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• Decomposable operators application to K.M.S. weights in a decomposable von Neumann algebra
• Self-dual cones in Hilbert space
• On the extension of von Neumann-Aumann's theorem
• Some properties of modular conjugation operator of von Neumann algebras and a non-commutative Radon-Nikodym theorem with a chain rule
• Caractérisation des espaces vectoriels ordonnés sous jacents aux algèbres de Von Neumann
• The Borel space of von Neumann algebras on a separable Hilbert space
• A central decomposition of automorphisms
• An extension of some results of Takesaki in the reduction theory of von Neumann algebras
• Conditional expectations in von Neumann algebras
• Borel Structure in Groups and Their Duals
• The standard form of von Neumann algebras.
• Direct integral theory for weights, and the Plancherel formula
• Convergence of Closed Subsets in a Topological Space

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