Dadarlat, Marius and Pennig, Ulrich ![]() ![]() |
Abstract
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 ⊗ 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.
Item Type: | Article |
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Date Type: | Publication |
Status: | Published |
Schools: | Mathematics |
Subjects: | Q Science > QA Mathematics |
Publisher: | De Gruyter |
ISSN: | 1435-5345 |
Date of First Compliant Deposit: | 2 December 2016 |
Date of Acceptance: | 2 September 2013 |
Last Modified: | 01 Nov 2022 09:51 |
URI: | https://orca.cardiff.ac.uk/id/eprint/89458 |
Citation Data
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