Observables as functions: Antonymous functions
نویسنده
چکیده
form the base of a topology on the Stone spectrum Q(R) such that Q(R) becomes a zero-dimensional, completely regular Hausdorff space. The sets QP (R) are closed-open. If the von Neumann algebra R is abelian, then the Stone spectrum Q(R) is homeomorphic to the Gelfand spectrum Ω(R) of R. For an arbitrary non-abelian unital von Neumann algebra R, the Stone spectrum can hence be regarded as a non-commutative generalization of the Gelfand spectrum. The elements B of the Stone spectrum Q(R) are called quasipoints.
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