A Dixmier--Douady theory for strongly self-absorbing C*-algebras

@article{Dadarlat2013ADT,
  title={A Dixmier--Douady theory for strongly self-absorbing C*-algebras},
  author={Marius Dadarlat and Ulrich Pennig},
  journal={Journal f{\"u}r die reine und angewandte Mathematik},
  year={2013},
  volume={2016},
  pages={153 - 181}
}
  • M. Dadarlat, U. Pennig
  • Published 18 February 2013
  • Mathematics
  • Journal für die reine und angewandte Mathematik
Abstract We show that the Dixmier–Douady theory of continuous fields of C*C^{*}-algebras with compact operators 𝕂{\mathbb{K}} as fibers extends significantly to a more general theory of fields with fibers A⊗\otimes𝕂\mathbb{K} where A is a strongly self-absorbing C*C^{*}-algebra. The classification of the corresponding locally trivial fields involves a generalized cohomology theory which is computable via the Atiyah–Hirzebruch spectral sequence. An important feature of the general theory is… 

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