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EXTENSION OF THE STRUCTURE THEOREM OF BORCHERS AND ITS APPLICATION TO HALF-SIDED MODULAR INCLUSIONS

2004/12/31 by H. Araki, HUZIHIRO ARAKI, L. Zsido +1
Mathematics · Physics and Astronomy · #Advanced Banach Space Theory #Advanced Operator Algebra Research #Algebra over a field #Extension (predicate logic) #Holomorphic and Operator Theory #Modular design #Structured program theorem #Von Neumann algebra #Von Neumann architecture #math-ph #math.MP #math.OA #msc:46L10 #msc:81T40

paper · pdf · doi:10.1142/s0129055x05002388

published as Rev. Math. Phys. 17 (2005), 491-543 · 47 pages

openalex publication_date 2005/06/01 · arxiv created 2005/09/14 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

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 N ⊂ M of von Neumann algebras to the case of a common faithful normal semi-finite weight and at the same time a gap in Wiesbrock's proof is filled in.

Citations