Tomita's theory of modular Hilbert algebras and its applications

Author(s)

• 竹崎, 正道 タケサキ, マサミチ

Bibliographic Information

Tomita's theory of modular Hilbert algebras and its applications

M. Takesaki

（Lecture notes in mathematics, 128）

Springer-Verlag, 1970

Note

Bibliography: p. [121]-123

Description and Table of Contents

Table of Contents

Preliminaries.- Modular Hilbert algebras.- Generalized Hilbert algebras.- The commutation theorem for modular Hilbert algebras.- Self-adjoint subalgebras of generalized Hilbert algebras.- The spectral algebra.- The modular operator ?.- The resolvent of the modular operator ?.- The one-parameter automorphisms defined by the modular operator ?.- Formulation of the modular Hilbert algebra.- Tensor product and direct sum of modular Hilbert algebras.- The standard representation of von Neumann algebras.- The modular automorphism group and the Kubo-Martin-Schwinger boundary condition.- Semi-finiteness and the modular automorphism group.

by "Nielsen BookData"

Details

• NCID: BA06680954
• ISBN:
  • 9783540049173
• LCCN: 79117719
• Country Code: gw
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Berlin ; New York
• Pages/Volumes: 123 p
• Size: 26 cm
• Classification:
  • LCC : QA3
  • DC : 513/.83
• Subject Headings:
  • LCSH : Hilbert algebras
  • LCSH : Von Neumann algebras
• Parent Bibliography ID:
  • BA00146586