Tomita's Lectures on Observable Algebras in Hilbert Space
Atsushi Inoue
Broschiertes Buch

Tomita's Lectures on Observable Algebras in Hilbert Space

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This book is devoted to the study of Tomita's observable algebras, their structure and applications.It begins by building the foundations of the theory of T_-algebras and CT_-algebras, presenting the major results and investigating the relationship between the operator and vector representations of a CT_-algebra. It is then shown via the representation theory of locally convex_-algebras that this theory includes Tomita-Takesaki theory as a special case; every observable algebra can be regarded as an operator algebra on a Pontryagin space with codimension 1. All of the results are proved in det...