ENGLISH

Tomita-Takesaki Theory in Algebras of Unbounded Operators

By Atsushi Inoue (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
1998
ISBN
3540651942, 9783540651949
DOI
10.1007/BFb0093329
LCC
QA3 .L28 no. 1699,QC174.17.H55 .L28 no. 1699
Open Library ID
OL385888M
Language
english
Format
PDF
Filesize
9 MB (9505426 bytes)
Series
Lecture Notes in Mathematics 1699
Edition
1
Pages
244\248
Time added
2011-06-04 13:46:07
Information and PhysicsOperator Theory; Quantum Physics; Quantum Computin

Description

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.

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