Interpolation by type I factors and the flip automorphism |
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Authors: | Claudio DAntoni Roberto Longo |
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Institution: | Istituto Matematico, Università dell''Aquila, L''Aquila, Italy;Istituto Matematico “G. Castelnuovo,” Università di Roma, Rome, Italy |
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Abstract: | Given two von Neumann algebras ? we study the relation between the existence of an interpolating type I factor , namely ? ?, the implementability of the flip automorphism of ? by a unitary in ? , and the statistical independence of and ′ ( and ′ generate a 1-tensor product). As an application in Q.F.T. we derive in a natural way a structure theorem of Buchholz for the von Neumann algebras of local observables associated to free fields. |
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