Tube algebra of group-type subfactors
International Journal of Mathematics
We describe the tube algebra and its representations in the cases of diagonal and Bisch-Haagerup subfactors possibly with a scalar 3-cocycle obstruction. We show that these categories are additively equivalent to the direct product over conjugacy classes of representation category of a centralizer subgroup (corresponding to the conjugacy class) twisted by a scalar 2-cocycle obtained from the 3-cocycle obstruction.
Bisch, Dietmar; Das, Paramita; Ghosh, Shamindra Kumar; and Rakshit, Narayan, "Tube algebra of group-type subfactors" (2017). Journal Articles. 2424.