Pointwise ergodic theory on operator algebras

DOI10.1063/1.523895zbMath0418.46055OpenAlexW2002389506MaRDI QIDQ3851137

Charles Radin

Publication date: 1978

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.523895

zbMATH Keywords

operator algebrasquantum mechanics*-automorphisms of a W*-algebraergodic theorem of Birkhoff typepointwise ergodic theory

Mathematics Subject Classification ID

General and philosophical questions in quantum theory (81P05) Ergodic theory of linear operators (47A35) Noncommutative dynamical systems (46L55)

Related Items (1)

Measure theoretic ergodic theory in quantum mechanics

Cites Work

• The dynamical instability of nonrelativistic many-body systems
• A noncommutative \(L_1\)-mean ergodic theorem
• Ergodic theorems for convex sets and operator algebras
• A bounded operator approach to Tomita-Takesaki theory
• Transformations of states in operator theory and dynamics
• On the equilibrium states in quantum statistical mechanics
• Quasi-unitary algebras attached to temperature states in statistical mechanics. A comment on the work of Haag, Hugenholtz and Winnink
• Noncommutative mean ergodic theory
• Dynamics of limit models
• Concrete representation of abstract (L)-spaces and the mean ergodic theorem
• Postulates for general quantum mechanics
• A non-commutative extension of abstract integration
• SOME PROBLEMS OF NON-COMMUTATIVE ERGODIC THEORY
• Proof of a Recurrence Theorem for Strongly Transitive Systems
• Time Translations in the Algebraic Formulation of Statistical Mechanics
• Dependent Probabilities and Spaces (L)

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