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Extension of the structure theorem of Borchers and its application to half-sided modular inclusions

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arxiv math/0412061 v3 pith:YLJMYQMX submitted 2004-12-02 math.OA math-phmath.MP

Extension of the structure theorem of Borchers and its application to half-sided modular inclusions

classification math.OA math-phmath.MP
keywords casecommonhalf-sidedmodularwiesbrockalgebrasapplicationborchers
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A result of H.-W. Wiesbrock is extended from the case of a common cyclic and separating vector for the half-sided modular inclusion of von Neumann algebras to the case of a common faithful normal semifinite weight and at the same time a gap in Wiesbrock's proof is filled in.

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Cited by 2 Pith papers

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    Proves integer Rényi QNEC by establishing log-convexity of Kosaki L^n norms under null-translation semigroups for σ-finite von Neumann algebras with half-sided modular inclusions, assuming only finite sandwiched Rényi...

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    hep-th 2026-07 accept novelty 7.0

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