The group of one-dimensional bimodules arising from composition of subfactors
We assume that a factor is equipped with outer actions of two finite groups, and consider a factor-subfactor pair consisting of the crossed product by one group and the fixed point algebra by the other. For this inclusion of factors, the group of one-dimensional bimodules appearing at even levels of the associated graph and that of non-strongly outer automorphisms for the subfactor (i.e., centrally trivial ones in the strongly amenable case) are determined.
- Journal of the Mathematical Society of Japan
Journal of the Mathematical Society of Japan 52(2), 293-333, 2000-04
The Mathematical Society of Japan