Field algebras do not leave field domains invariant

DOI10.1007/BF01221653zbMath0597.47028OpenAlexW2077907338MaRDI QIDQ1079167

A. V. Voronin, S. S. Khoruzhij

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1007/bf01221653

zbMATH Keywords

von Neumann algebras\(Op^*\)- algebras generated by Wightman fieldsbounded commutantsessentially self-adjoint operatorsquantum field systemsvon Neumann field algebras

Mathematics Subject Classification ID

Algebras of unbounded operators; partial algebras of operators (47L60) Applications of operator algebras to the sciences (47L90) Axiomatic quantum field theory; operator algebras (81T05) General theory of (C^*)-algebras (46L05)

Related Items (6)

TOPOLOGICAL PARTIAL *-ALGEBRAS: BASIC PROPERTIES AND EXAMPLES ⋮ Partial *-algebras and Volterra convolution of distribution kernels ⋮ Unbounded \(C^{\ast}\)-seminorms, biweights, and \(^{\ast}\)-representations of partial \(^{\ast}\)-algebras: A review ⋮ Unnamed Item ⋮ Standard generalized vectors and \({}^*\)-automorphism groups of partial \(O^*\)-algebras ⋮ Unnamed Item

Cites Work

• Algebras of unbounded operators and vacuum superselection rules in quantum field theory. I. Some properties of \(Op^*\) algebras and vector states on them
• V*-algebras: A particular class of unbounded operator algebras

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