Extension of Tomita-Takesaki theory to the unbounded algebra of the canonical commutation relations

DOI10.1016/0034-4877(79)90069-7zbMath0447.46051OpenAlexW1976624674MaRDI QIDQ1146356

S. H. Smith

Publication date: 1979

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0034-4877(79)90069-7

zbMATH Keywords

canonical commutation relationsFock spaceKMS conditionstopological algebrasTomita-Takesaki theoryGNS representationfaithful stateone- parameter group of automorphismsunbounded representations

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Abstract operator algebras on Hilbert spaces (47L30) Representations of topological algebras (46H15)

Related Items (6)

Extension of unbounded left Hilbert algebras to partial *-algebras ⋮ Cyclic generalized vectors for algebras of unbounded operators ⋮ An unbounded generalization of the Tomita-Takesaki theory. II ⋮ Modular structure of algebras of unbounded operators ⋮ Modular systems induced by trace functionals on algebras of unbounded operators ⋮ An unbounded generalization of the Tomita-Takesaki theory

Cites Work

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• Tempered distributions in infinitely many dimensions. III: Linear transformations of field operators
• On the equilibrium states in quantum statistical mechanics
• The quantum problem of moments. I
• Self-adjoint algebras of unbounded operators
• A Noncommutative Probability Theory
• Sur une algèbre Q-symétrique

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