### Abstract

We show that the (co)endomorphism algebra of a sufficiently separable "fibre" functor into Vect_{κ}, for κ a field of characteristic 0, has the structure of what we call a "unital" von Neumann core in Vect_{κ}. For Vect_{κ}, this particular notion of algebra is weaker than that of a Hopf algebra, although the corresponding concept in Set is again that of a group.

Original language | English |
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Pages (from-to) | 77-96 |

Number of pages | 20 |

Journal | Theory and Applications of Categories |

Volume | 22 |

Publication status | Published - Jan 28 2009 |

### All Science Journal Classification (ASJC) codes

- Mathematics (miscellaneous)

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## Cite this

Day, B., & Pastro, C. A. (2009). On endomorphism algebras of separable monoidal functors.

*Theory and Applications of Categories*,*22*, 77-96.