On representing some lattices as lattices of intermediate subfactors of finite index

Abstract

We prove that the very simple lattices which consist of a largest, a smallest and $2n$ pairwise incomparable elements where $n$ is a positive integer can be realized as the lattices of intermediate subfactors of finite index and finite depth. Using the same techniques, we give a necessary and sufficient condition for subfactors coming from Loop groups of type $A$ at generic levels to be maximal.

39 pages, latex, corrected proof of Cor. 5.23. To appear in Advance in Mathematics

References in corpus (1)

• The fusion algebra of bimodule categories