Tomita's Lectures on Observable Algebras in Hilbert Space (eBook, PDF)
Atsushi Inoue
eBook, PDF

Tomita's Lectures on Observable Algebras in Hilbert Space (eBook, PDF)

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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 d...

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