科研之友
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摘要
We show that the Dixmier-Douady theory of continuous fields of C*-algebras with compact operators K as fibers extends significantly to a more general theory of fields with fibers A circle times K where A is a strongly self-absorbing 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 the appearance of characteristic classes in higher dimensions. We also give a necessary and sufficient K-theoretical condition for local triviality of these continuous fields over spaces of finite covering dimension.
- 出版日期2016-9
