Nuclearity, split property, and duality for the Klein-Gordon field in curved spacetime
type: Item
instance of: scholarly article
title: Nuclearity, split property, and duality for the Klein-Gordon field in curved spacetime
zbMATH Open document ID: 0799.46082
DOI: 10.1007/BF00750964
author: Rainer Verch
published in: Letters in Mathematical Physics
publication date: 1994-11-17T00:00:00Z
Mathematics Subject Classification ID: 46L60
Mathematics Subject Classification ID: 46N50
Mathematics Subject Classification ID: 81T05
Mathematics Subject Classification ID: 81T20
Mathematics Subject Classification ID: 53Z05
zbMATH DE Number: 508692
zbMATH Keywords: nuclearity
zbMATH Keywords: split property
zbMATH Keywords: duality
zbMATH Keywords: Neumann algebras
zbMATH Keywords: distinguished states of the massive Klein-Gordon field propagating in particular classes of curved spacetimes
zbMATH Keywords: representations
MaRDI profile type: Publication
cites work: A Lattice of Von Neumann Algebras Associated with the Quantum Theory of a Free Bose Field
cites work: Q4003570
cites work: The universal structure of local algebras
cites work: Nuclear maps and modular structures. I: General properties
cites work: On the nuclearity condition for massless fields
cites work: Local properties of equilibrium states and the particle spectrum in quantum field theory
cites work: Q5751427
cites work: Causal independence and the energy-level density of states in local quantum field theory
cites work: Essential self-adjointness of powers of generators of hyperbolic equations
cites work: Algebras of local observables on a manifold
cites work: Duality and absence of locally generated superselection sectors for CCR- type algebras
cites work: An application of modular Hilbert algebras: Duality for free Bose fields
cites work: Singularity structure of the two-point function in quantum field theory in curved spacetime. II
cites work: A simple proof of duality for local algebras in free quantum field theory
cites work: Theorems on the uniqueness and thermal properties of stationary, nonsingular, quasifree states on spacetimes with a bifurcate Killing horizon
cites work: A commutation theorem and duality for free Bose fields
cites work: Normal product states for fermions and twisted duality for CCR- and CAR- type algebras with application to the \(Yukawa_ 2 \)quantum field model
cites work: ON THE INDEPENDENCE OF LOCAL ALGEBRAS IN QUANTUM FIELD THEORY
cites work: Local definiteness, primarity and quasiequivalence of quasifree Hadamard quantum states in curved spacetime
cites work: Antilocality and a Reeh-Schlieder theorem on manifolds
cites work: Q4284548
Wikidata QID: Q125948571
description: scientific article; zbMATH DE number 508692