Let M be a factor and N a subfactor of M with finite index. If N is an irreducible subfactor of M, then the intermediate subfactor lattice for the inclusion N ⊂ M is a finite lattice. In a common discrete decomposition intermediate subfactor lattices of type II and type III inclusions are different in general. But they are isomorphic in a common continuous decomposition of a type III1 inclusion. We determine the structure of lattices of subfactors with index 4 without the assumption of AFD.
!!!All Science Journal Classification (ASJC) codes
- 数学 (全般)