Dadarlat, Marius and Pennig, Ulrich
2016.
A Dixmier-Douady theory for strongly self-absorbing C*-algebras II: the Brauer group.
Journal of Noncommutative Geometry
9
(4)
, pp. 1137-1154.
10.4171/JNCG/218
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Abstract
We have previously shown that the isomorphism classes of orientable locally trivial fields of C∗-algebras over a compact metrizable space X with fiber D⊗K, where D is a strongly self-absorbing C∗-algebra, form an abelian group under the operation of tensor product. Moreover this group is isomorphic to the first group E¯1D(X) of the (reduced) generalized cohomology theory associated to the unit spectrum of topological K-theory with coefficients in D. Here we show that all the torsion elements of the group E¯1D(X) arise from locally trivial fields with fiber D⊗Mn(C), n≥1, for all known examples of strongly self-absorbing C∗-algebras} D. Moreover the Brauer group generated by locally trivial fields with fiber D⊗Mn(C), n≥1 is isomorphic to TorE¯1D(X).
Item Type: | Article |
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Date Type: | Publication |
Status: | Published |
Schools: | Mathematics |
Subjects: | Q Science > QA Mathematics |
Publisher: | European Mathematical Society |
ISSN: | 1661-6952 |
Date of First Compliant Deposit: | 2 December 2016 |
Last Modified: | 13 Mar 2020 00:57 |
URI: | http://orca.cf.ac.uk/id/eprint/89485 |
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- A Dixmier-Douady theory for strongly self-absorbing C*-algebras II: the Brauer group. (deposited 21 Apr 2016 10:21) [Currently Displayed]
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