A note on cocycles in von Neumann algebras

  title={A note on cocycles in von Neumann algebras},
  author={Kichi-Suke Saito},
In this note, we study the comparison theory for cocycles in von Neumann algebras. In particular, we investigate quasi-equivalent cocylces. In [1], Connes and Takesaki studied a comparison theory for cocycles with respect to a given continuous group action on a von Neumann algebra. This theory will give rise, via the Connes cocycle theorem [1, 3.1, 3.5], to a corresponding comparison theory for weights on von Neumann algebras. Further, Muhly and the author in [2] proved that when a von Neumann… CONTINUE READING