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arXiv · 1701.00097

Tube algebra of group-type subfactors

Dietmar Bisch·Paramita Das·Shamindra Kumar Ghosh·Narayan Rakshit
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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.

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Dietmar Bisch, Paramita Das, Shamindra Kumar Ghosh, Narayan Rakshit. 2016-12-31. Tube algebra of group-type subfactors. https://arxiv.org/abs/1701.00097

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