Composed inclusions of A3 and A4 subfactors

Zhengwei Liu

Spectral Theory and Operator Algebra mathscidoc:1912.431047

Advances in Mathematics, 279, 307-371, 2015.7
In this article, we classify all standard invariants that can arise from a composed inclusion of an A 3 with an A 4 subfactor. More precisely, if N P is an A 3 subfactor and P M is an A 4 subfactor, then only four standard invariants can arise from the composed inclusion N M. We answer a question posed by Bisch and Haagerup in 1994. The techniques of this paper also show that there are exactly four standard invariants for the composed inclusion of two A 4 subfactors.
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  title={Composed inclusions of A3 and A4 subfactors},
  author={Zhengwei Liu},
  booktitle={Advances in Mathematics},
Zhengwei Liu. Composed inclusions of A3 and A4 subfactors. 2015. Vol. 279. In Advances in Mathematics. pp.307-371.
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