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can be obtained as follows: For a specific macroscopic state, one uses the GNS-representation to obtain a representation of the algebra of observables as linear operators on a Hilbert space, one chooses a maximally Abelian algebra of compatible observables and applies the Gelfand transform for Abelian C*-algebras to represent abstract observables as functions on a representation space of states (Gelfand space). In general, such a description

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