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

December 02, 2004

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.

open access link
Rev. Math. Phys. 17 (2005), 491-543

@article{Araki:2005we,
author = "Araki, H. and Zsido, L.",
title = "{Extension of the structure theorem of Borchers and its
application to half-sided modular inclusions}",
journal = "Rev. Math. Phys.",
volume = "17",
year = "2005",
pages = "491-543",
doi = "10.1142/S0129055X05002388",
eprint = "math/0412061",
archivePrefix = "arXiv",
primaryClass = "math.OA",
SLACcitation = "%%CITATION = MATH/0412061;%%"
}

Keywords:

modular theory