Generalized notion of a trace for von Neumann algebras

Аннотация

On a von Neumann algebra M, we consider traces with values in the algebra L 0 of measurable complex-valued functions. We show that every faithful normal L 0-valued trace on M generates an L 0-valued metric on the algebra of measurable operators that are affiliated with M. Moreover, convergence in this metric coincides with local convergence in measure.

Темы

Идентификаторы

DOI

10.3103/s1055134411010032

Цитирования и источники