Standard weights on algebras of unbounded operators

Atsushi INOUE; Witold KARWOWSKI; Hidekazu OGI

doi:10.2969/jmsj/05140911

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October, 1999 Standard weights on algebras of unbounded operators

Atsushi INOUE, Witold KARWOWSKI, Hidekazu OGI

J. Math. Soc. Japan 51(4): 911-935 (October, 1999). DOI: 10.2969/jmsj/05140911

Abstract

The purpose of this paper is to define and study an important class in weights on $\mathrm{O}^{*}$ -algebras which is possible to develop the Tomita-Takesaki theory in $\mathrm{O}^{*}$ -algebras. The Connes cocycle theorem for weights on von Neumann algebras is generalized to the case of $\mathrm{O}^{*}$ -algebras.

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Atsushi INOUE. Witold KARWOWSKI. Hidekazu OGI. "Standard weights on algebras of unbounded operators." J. Math. Soc. Japan 51 (4) 911 - 935, October, 1999. https://doi.org/10.2969/jmsj/05140911