Notes on algebraic invariants for non-commutative dynamical systems
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Publication:1133118
DOI10.1007/BF01197443zbMath0421.46053MaRDI QIDQ1133118
Publication date: 1979
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
algebraic quantum field theoryvon Neumann algebrasmodular invariantsfactorweakly mixingsemigroup actionConnes invariantinvariant normal statenon-commutative dynamical systems
Noncommutative dynamical systems (46L55) Applications of selfadjoint operator algebras to physics (46L60)
Related Items (21)
On the connection between quantum fields and von Neumann algebras of local operators ⋮ Conformal covariance, modular structure, and duality for local algebras in free massless quantum field theories ⋮ Information loss, mixing and emergent type \(\mathrm{III}_1\) factors ⋮ Local Poincaré algebra from quantum chaos ⋮ Generalized orbifold construction for conformal nets ⋮ Ergodic states on type \(\mathrm{III}_1\) factors and ergodic actions ⋮ Modular structure and inclusions of twisted Araki-Woods algebras ⋮ Infinite index extensions of local nets and defects ⋮ An algebraic version of Haag's theorem ⋮ Modular structure of the local algebras associated with the free massless scalar field theory ⋮ The role of type III factors in quantum field theory ⋮ Covariant representations for possibly singular actions on $C^*$-algebras ⋮ On revolutionizing quantum field theory with Tomita’s modular theory ⋮ From Vertex Operator Algebras to Conformal Nets and Back ⋮ Maximal violation of Bell's inequalities is generic in quantum field theory ⋮ New light on infrared problems: sectors, statistics, symmetries and spectrum ⋮ Algebraic Constructive Quantum Field Theory: Integrable Models and Deformation Techniques ⋮ Construction of quantum field theories with factorizing S-matrices ⋮ Unnamed Item ⋮ Deformations of half-sided modular inclusions and non-local chiral field theories ⋮ Superposition, transition probabilities and primitive observables in infinite quantum systems
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- Ergodic states in a non commutative ergodic theory
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- Remarks on spectra of modular operators of von Neumann algebras
- The structure of a von Neumann algebra with a homogeneous periodic state
- Structure of some von Neumann algebras with isolated discrete modular spectrum
- Une classification des facteurs de type ${\rm III}$
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