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Modular structure of algebras of unbounded operators

Published online by Cambridge University Press:  24 October 2008

Atsushi Inoue
Atsushi Inoue
Affiliation:
Department of Applied Mathematics, Fukuoka University, Fukuoka, Japan
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Abstract

A systematic analysis of standard systems and modular systems for which one can develop TomitaTakesaki theory for algebras of unbounded operators is presented. Such systems arise in the Wightman quantum field theory. The connection between such systems and the theory of local nets of von Neumann algebras initiated by Araki and HaagKastler is discussed.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 111 , Issue 2 , March 1992 , pp. 369 - 386
Copyright
Copyright © Cambridge Philosophical Society 1992

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