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Interpolation by type I factors and the flip automorphism
Authors:Claudio D&#x;Antoni  Roberto Longo
Institution:Istituto Matematico, Università dell''Aquila, L''Aquila, Italy;Istituto Matematico “G. Castelnuovo,” Università di Roma, Rome, Italy
Abstract:Given two von Neumann algebras A ?B we study the relation between the existence of an interpolating type I factor F, namely A ?F ?B, the implementability of the flip automorphism of A ? A by a unitary in B ? B, and the statistical independence of A and B′ (A and B′ generate a W1-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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