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Modular systems induced by trace functionals on algebras of unbounded operators. (English) Zbl 0811.47043

Summary: The purpose of this article is to study the unbounded Tomita-Takesaki theory by trace functionals on \(O^*\)-algebras, and to apply the results to the algebras associated with the canonical commutation relation, \(pq- qp=-i1\) (CCR-algebras).

MSC:

47L60 Algebras of unbounded operators; partial algebras of operators
47N50 Applications of operator theory in the physical sciences
81T10 Model quantum field theories
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