# 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} }

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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