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Tomita-Takesaki Theory in Algebras of Unbounded Operators : Tomita - Takesaki Theory in Algebras of Unbounded Operators - Atsushi Inoue

Tomita-Takesaki Theory in Algebras of Unbounded Operators

Tomita - Takesaki Theory in Algebras of Unbounded Operators

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Published: 18th November 1998
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These notes are devoted to a systematic study of developing the Tomita-Takesaki theory for von Neumann algebras in unbounded operator algebras called O*-algebras and to its applications to quantum physics. The notions of standard generalized vectors and standard weights for an O*-algebra are introduced and they lead to a Tomita-Takesaki theory of modular automorphisms. The Tomita-Takesaki theory in O*-algebras is applied to quantum moment problem, quantum statistical mechanics and the Wightman quantum field theory. This will be of interest to graduate students and researchers in the field of (unbounded) operator algebras and mathematical physics.

Introductionp. 1
Fundamentals of O*-algebrasp. 7
Standard systems and modular systemsp. 41
Standard weights on O*-algebrasp. 111
Physical Applicationsp. 169
Referencesp. 225
Indexp. 239
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9783540651949
ISBN-10: 3540651942
Series: Tomita - Takesaki Theory in Algebras of Unbounded Operators
Audience: General
Format: Paperback
Language: English
Number Of Pages: 244
Published: 18th November 1998
Publisher: Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
Country of Publication: DE
Dimensions (cm): 23.39 x 15.6  x 1.35
Weight (kg): 0.36