On Haag Duality for Pure States of Quantum Spin Chain

Abstract

We consider quantum spin chains and their translationally invariant pure states. We prove Haag duality for quasilocal observables localized in semi-infinite intervals when the von Neumann algebras generated by observables localized in these intervals are not type I.

References in corpus (1)

• Entanglement, Haag-duality and type properties of infinite quantum spin chains

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• On Spectral Gap,U(1) Symmetry and Split Property in Quantum Spin Chains