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Catalogue Information
Field name	Details
Dewey Class	512.55
Title	Tomita-Takesaki Theory in Algebras of Unbounded Operators ([EBook]) / by Atsushi Inoue.
Author	Inoue, Atsushi , 1944-
Other name(s)	SpringerLink (Online service)
Publication	Berlin, Heidelberg : Springer , 1998.
Physical Details	VIII, 244 pages : online resource.
Series	Lecture Notes in Mathematics 0075-8434 ; ; 1699
ISBN	9783540494959
Summary Note	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.:
Contents note	Fundamentals of O-algebras -- Standard systems and modular systems -- Standard weights on O-algebras -- Physical applications.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/BFb0093329
Links to Related Works	Subject References: Algebra . Operator Theory . Quantum computers . Quantum Information Technology, Spintronics . Quantum Physics . Spintronics . Authors: Inoue, Atsushi 1944- . Corporate Authors: SpringerLink (Online service) . Series: Lecture Notes in Mathematics . Classification: 512.55 . 512.55 (DDC 22) .

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Tomita-Takesaki Theory in Algebras of Unbounded Operators

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