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- Atsushi Inoue, Hidekazu Ogi, Mayumi Takakura
- Int. J. Math. Mathematical Sciences
- 2007

Two conditional expectations in unbounded operator algebras (O∗-algebras) are discussed. One is a vector conditional expectation defined by a linear map of an O∗-algebra into the Hilbert space on which the O∗-algebra acts. This has the usual properties of conditional expectations. This was defined by Gudder and Hudson. Another is an unbounded conditional… (More)

Standard generalized vectors for an O*-algebra N lead to a Tomita-Takesaki theory of modular automorphisms on N, and this is a key step in constructing KMS states on N (which would represent equilibrium states if N is the observable algebra of some physical system). In this paper, we extend to partial O*-algebras the notion of standard generalized vector… (More)

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