On Woronowicz's approach to the Tomita-Takesaki theory

László Zsidó. "On Woronowicz's approach to the Tomita-Takesaki theory." Banach Center Publications 98.1 (2012): 455-486. <http://eudml.org/doc/282221>.

@article{LászlóZsidó2012,
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.},
author = {László Zsidó},
journal = {Banach Center Publications},
keywords = {positive self-adjoint operator; analytic extension; polar decomposition; von Neumann algebra; Tomita-Takesaki theory},
language = {eng},
number = {1},
pages = {455-486},
title = {On Woronowicz's approach to the Tomita-Takesaki theory},
url = {http://eudml.org/doc/282221},
volume = {98},
year = {2012},
}

TY - JOUR
AU - László Zsidó
TI - On Woronowicz's approach to the Tomita-Takesaki theory
JO - Banach Center Publications
PY - 2012
VL - 98
IS - 1
SP - 455
EP - 486
AB - 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.
LA - eng
KW - positive self-adjoint operator; analytic extension; polar decomposition; von Neumann algebra; Tomita-Takesaki theory
UR - http://eudml.org/doc/282221
ER -