English

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

Operator Algebras 2009-11-10 v3 Mathematical Physics math.MP

Abstract

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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Cite

@article{arxiv.math/0412061,
  title  = {Extension of the structure theorem of Borchers and its application to half-sided modular inclusions},
  author = {H. Araki and L. Zsido},
  journal= {arXiv preprint arXiv:math/0412061},
  year   = {2009}
}

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47 pages