Computing cohomology groups that classify bundles of strongly self-absorbing C*-algebras

Dadarlat, Marius, McClure, James E. and Pennig, Ulrich ORCID: https://orcid.org/0000-0001-5441-6130 2025. Computing cohomology groups that classify bundles of strongly self-absorbing C*-algebras. Journal of Topology and Analysis 17 (6) , pp. 1591-1624. 10.1142/S1793525324500110

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Abstract

Locally trivial bundles of C∗ -algebras with fiber D⊗K for a strongly self-absorbing C∗ -algebra D over a finite CW-complex X form a group E1D(X) that is the first group of a cohomology theory E∗D(X) . In this paper, we compute these groups by expressing them in terms of ordinary cohomology and connective K -theory. To compare the C∗ -algebraic version of gl1(KU) with its classical counterpart we also develop a uniqueness result for the unit spectrum of complex periodic topological K -theory.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Schools > Mathematics
Publisher:	World Scientific Publishing
ISSN:	1793-5253
Date of First Compliant Deposit:	29 September 2023
Date of Acceptance:	5 August 2023
Last Modified:	20 Aug 2025 09:15
URI:	https://orca.cardiff.ac.uk/id/eprint/162847

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