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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc98-0-19,
author = {L\'aszl\'o Zsid\'o},
title = {On Woronowicz's approach to the Tomita-Takesaki theory},
journal = {Banach Center Publications},
volume = {97},
year = {2012},
pages = {455-486},
zbl = {1269.46039},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc98-0-19}
}
László Zsidó. On Woronowicz's approach to the Tomita-Takesaki theory. Banach Center Publications, Tome 97 (2012) pp. 455-486. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc98-0-19/