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

@article{Dadarlat2013ADT,
title={A Dixmier--Douady theory for strongly self-absorbing C*-algebras},
journal={Journal f{\"u}r die reine und angewandte Mathematik},
year={2013},
volume={2016},
pages={153 - 181}
}
• 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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