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Haag duality for Kitaev’s quantum double model for abelian groups

Haag duality for Kitaev’s quantum double model for abelian groups

We prove Haag duality for conelike regions in the ground state representation corresponding to the translational invariant ground state of Kitaev's quantum double model for finite abelian groups. This property says that if an observable commutes with all observables localised outside the cone region, it actually is an element of …