EXTENSION OF THE STRUCTURE THEOREM OF BORCHERS AND ITS APPLICATION TO HALF-SIDED MODULAR INCLUSIONS-Reference-Cited by-同舟云学术

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

Published:2005-06 Issue:05 Volume:17 Page:491-543
ISSN:0129-055X
Container-title:Reviews in Mathematical Physics
language:en
Short-container-title:Rev. Math. Phys.

Author:

ARAKI HUZIHIRO¹,ZSIDÓ LÁSZLÓ²

Affiliation:

1. Research Institute for Mathematical Sciences, Kyoto University, Sakyoku, Kyoto 606-8205, Japan

2. Department of Mathematics, University of Rome "Tor Vergata", Via della Ricerca Scientifica, 00133 Rome, Italy

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129055X05002388

Reference41 articles.

1. On groups of automorphisms of operator algebras

2. Complex Variables

3. On the duality condition for a Hermitian scalar field

4. Energy and momentum as observables in quantum field theory

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