Remarks on the modular operator and local observables |
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Authors: | Carlo Rigotti |
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Affiliation: | (1) Istituto Matematico G. Castelnuovo, Università di Roma, I-00100 Roma, Italy |
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Abstract: | In this paper we give a characterization of the modular group of a von Neumann algebra , with a cyclic and separating vector, which provides at the same time a necessary and sufficient condition so that two von Neumann algebras 1 and 2, such that 12, are the mutual commutants, i.e. 1=2.An application is made to the duality property in Quantum Field Theory, and we give a sufficient condition for PCT invariance in a theory of local observables.Partially supported by C.N.R. |
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Keywords: | |
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