Standard weights on algebras of unbounded operators

Atsushi INOUE; Witold KARWOWSKI; Hidekazu OGI

doi:10.2969/jmsj/05140911

Journal of the Mathematical Society of Japan

Online ISSN : 1881-1167
Print ISSN : 0025-5645
ISSN-L : 0025-5645

Standard weights on algebras of unbounded operators

Atsushi INOUE, Witold KARWOWSKI, Hidekazu OGI

著者情報

キーワード: O^*-algebras, generalized von Neumann algebras, standard (quasi-)weights, KMS-(quasi-)weights

ジャーナルフリー

1999 年 51 巻 4 号 p. 911-935

DOI https://doi.org/10.2969/jmsj/05140911

詳細

抄録

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