A CLASSIFICATION OF FLOWS ON AFD FACTORS WITH FAITHFUL CONNES-TAKESAKI MODULES

作者：Shimada Koichi^*

来源：Transactions of the American Mathematical Society, 2016, 368(6): 4497-4523.

DOI：10.1090/tran/6471

We completely classify flows on approximately finite dimensional (AFD) factors with faithful Connes Takesaki modules up to cocycle conjugacy. This is a generalization of the uniqueness of the trace-scaling flow on the AFD factor of type H-infinity, which is equivalent to the uniqueness of the AFD factor of type III1. In order to achieve this, we show that a flow on any AFD factor with faithful Connes Takesaki module has the Rohlin property, which is a kind of outerness for flows introduced by Kishimoto and Kawamuro.

• 出版日期2016-6