Outer Actions of a Discrete Amenable Group on Approximately Finite Dimensional Factors II, the III${}_{\lambda }$-Case, $\lambda \ne 0$

Yoshikazu Katayama, Masamichi Takesaki

To study outer actions $\a$ of a group $G$ on a factor $\sM$ of type {\threel}, $0<\la<1$, we study first the cohomology group of a group with the unitary group of an abelian {\vna…