Tomita-Takesaki Theory in Algebras of Unbounded Operators

• Main Author: Inoue, Atsushi (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1998.
• Edition: 1st ed. 1998.
• Series: Lecture Notes in Mathematics, 1699
• Subjects: Algebra.; Operator theory.; Quantum physics.; Quantum computers.; Spintronics.; Operator Theory.; Quantum Physics.; Quantum Information Technology, Spintronics.

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 introdu...

Table of Contents:

• Fundamentals of O*-algebras
• Standard systems and modular systems
• Standard weights on O*-algebras
• Physical applications.