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arxiv: math-ph/0703013 · v1 · submitted 2007-03-02 · 🧮 math-ph · math.MP

On Haag Duality for Pure States of Quantum Spin Chain

classification 🧮 math-ph math.MP
keywords dualityhaagintervalslocalizedobservablespurequantumspin
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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.

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