Abstract
We give a simplified proof of the following important theorem,which is due to Borchers. Let ℳ be a von Neumann algebra with cyclic and separating vector ω and let U(t), t ∈ R, be a group with positive generator, which leaves ω fixed and induces for positive arguments endomorphisms of ℳ. The modular group of (ℳ, ω) acts then as dilatations on this group. Our proof can also be applied to half-sided modular inclusions.
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