The Tomita-Takesaki Theory is very complex and can be contemplated from different points of view. In the decade 1970–1980 several approaches to it appeared, each one seeking to attain more transparency. One of them was the paper of S. L. Woronowicz “Operator systems and their application to the Tomita-Takesaki theory” that appeared in 1979. Woronowicz's approach allows a particularly precise insight into the nature of the Tomita-Takesaki Theory and in this paper we present a brief, but fairly detailed version of his approach.

Zsido, L. (2012). On Woronowicz's approach to the Tomita-Takesaki theory. In Operator Algebras and Quantum Groups (pp.455-486). Warszawa : Institute of Mathematics, Polish Academy of Sciences.

On Woronowicz's approach to the Tomita-Takesaki theory

ZSIDO, LASZLO
2012-01-01

Abstract

The Tomita-Takesaki Theory is very complex and can be contemplated from different points of view. In the decade 1970–1980 several approaches to it appeared, each one seeking to attain more transparency. One of them was the paper of S. L. Woronowicz “Operator systems and their application to the Tomita-Takesaki theory” that appeared in 1979. Woronowicz's approach allows a particularly precise insight into the nature of the Tomita-Takesaki Theory and in this paper we present a brief, but fairly detailed version of his approach.
Operator Algebras and Quantum Groups
Varsavia, POLONIA
September 19-23, 2011
Stefan Banach International Mathematical Center, Faculty of Physics University of Warsaw
Rilevanza internazionale
su invito
21-set-2011
2012
Settore MAT/05 - ANALISI MATEMATICA
English
positive self-adjoint operator; analytic extension; polar decomposition; von Neumann algebra; Tomita-Takesaki theory
Intervento a convegno
Zsido, L. (2012). On Woronowicz's approach to the Tomita-Takesaki theory. In Operator Algebras and Quantum Groups (pp.455-486). Warszawa : Institute of Mathematics, Polish Academy of Sciences.
Zsido, L
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/102163
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