Crossed module actions on continuous trace C*-algebras

Meyer, Ralf and Pennig, Ulrich ORCID: https://orcid.org/0000-0001-5441-6130 2016. Crossed module actions on continuous trace C*-algebras. Communications in Mathematical Physics 346 (1) , pp. 115-142. 10.1007/s00220-016-2638-3

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Abstract

We lift an action of a torus Tn on the spectrum of a continuous trace algebra to an action of a certain crossed module of Lie groups that is an extension of Rn. We compute equivariant Brauer and Picard groups for this crossed module and describe the obstruction to the existence of an action of Rn in our framework.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Mathematics
Subjects:	Q Science > QA Mathematics
Publisher:	Springer Verlag
ISSN:	0010-3616
Date of First Compliant Deposit:	2 December 2016
Date of Acceptance:	4 March 2016
Last Modified:	24 Nov 2024 19:15
URI:	https://orca.cardiff.ac.uk/id/eprint/91128

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