Braided multiplicative unitaries as regular objects.

@article{Meyer2016BraidedMU,
  title={Braided multiplicative unitaries as regular objects.},
  author={Ralf Meyer and Sutanu Roy},
  journal={arXiv: Operator Algebras},
  year={2016}
}
We use the theory of regular objects in tensor categories to clarify the passage between braided multiplicative unitaries and multiplicative unitaries with projection. The braided multiplicative unitary and its semidirect product multiplicative unitary have the same Hilbert space representations. We also show that the multiplicative unitaries associated to two regular objects for the same tensor category are equivalent and hence generate isomorphic C*-quantum groups. In particular, a C*-quantum… 
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