From Subfactors to Categories and Topology I . Frobenius Algebras in and Morita Equivalence of Tensor Categories

@inproceedings{Mger2003FromST,
  title={From Subfactors to Categories and Topology I . Frobenius Algebras in and Morita Equivalence of Tensor Categories},
  author={Michael M{\"u}ger},
  year={2003}
}
  • Michael Müger
  • Published 2003
We consider certain categorical structures that are implicit in subfactor theory. Making the connection between subfactor theory (at finite index) and category theory explicit sheds light on both subjects. Furthermore , it allows various generalizations of these structures, e.g. to arbitrary ground fields, and the proof of new results about topological invariants in three dimensions. The central notion is that of a Frobenius algebra in a tensor category A, which reduces to the classical notion… CONTINUE READING
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