Tube algebra of group-type subfactors
Operator Algebras
2017-01-03 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1701.00097,
title = {Tube algebra of group-type subfactors},
author = {Dietmar Bisch and Paramita Das and Shamindra Kumar Ghosh and Narayan Rakshit},
journal= {arXiv preprint arXiv:1701.00097},
year = {2017}
}
Comments
25 pages