Op\({}^*\)- and \(C^*\)-dynamical systems. I. Structural parallels

DOI10.1007/BF01079038zbMath0723.47038MaRDI QIDQ756687

A. V. Voronin, S. S. Khoruzhij

Publication date: 1990

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

group of automorphisms\(Op^ *\)-dynamical systemdecomposition of operators and states for an algebra of unbounded operatorsdecomposition problem for \(Op^ *\)-dynamical systemsLorentz invariance of an \(Op^ *\)-systemorthogonal measure on an \(Op^ *\)-algebrathe commutant of a quasilocal \(C^ *\)-algebra with cyclic vacuum is AbelianTomita's theorem on orthogonal measures on \(C^ *\)-algebrasvaccum structure of quantum field theory

Mathematics Subject Classification ID

Algebras of unbounded operators; partial algebras of operators (47L60) Applications of operator theory in the physical sciences (47N50) Noncommutative dynamical systems (46L55) Axiomatic quantum field theory; operator algebras (81T05) Applications of selfadjoint operator algebras to physics (46L60) Applications of functional analysis in quantum physics (46N50)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the decomposition of Wightman functionals in the Euclidean framework
• On the algebra of field operators. The weak commutant and integral decompositions of states
• Integral representations for Schwinger functionals and the moment problem over nuclear spaces
• Fields, observables and gauge transformations. I
• On the structure of the algebra of field operators. II
• Self-adjoint algebras of unbounded operators
• V*-algebras: A particular class of unbounded operator algebras
• On structure of the algebra of field operators

This page was built for publication: Op\({}^*\)- and \(C^*\)-dynamical systems. I. Structural parallels