Continuous Fields of C *-Algebras Arising from Extensions of Tensor C *-Categories

@inproceedings{Vasselli2008ContinuousFO,
  title={Continuous Fields of C *-Algebras Arising from Extensions of Tensor C *-Categories},
  author={Ezio Vasselli},
  year={2008}
}
  • Ezio Vasselli
  • Published 2008
The notion of extension of a given C*-category C by a C*-algebra A is introduced. In the commutative case A = C(Ω), the objects of the extension category are interpreted as fiber bundles over Ω of objects belonging to the initial category. It is shown that the Doplicher-Roberts algebra (DR-algebra in the following) associated to an object in the extension of a strict tensor C*-category is a continuous field of DR-algebras coming from the initial one. In the case of the category of the hermitian… CONTINUE READING
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