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Symmetry, Integrability and Geometry: Methods and Applications, 2017, Volume 13, 062, 19 pp.
DOI: https://doi.org/10.3842/SIGMA.2017.062 (Mi sigma1262) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Part III, Free Actions of Compact Quantum Groups on $\mathrm{C}^*$-Algebras

Kay Schwiegera, Stefan Wagnerb

a Iteratec GmbH, Stuttgart, Germany
b Blekinge Tekniska Högskola, Sweden
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DOI: https://doi.org/10.3842/SIGMA.2017.062
Abstract: We study and classify free actions of compact quantum groups on unital $\mathrm{C}^*$-algebras in terms of generalized factor systems. Moreover, we use these factor systems to show that all finite coverings of irrational rotation $\mathrm{C}^*$-algebras are cleft.
Keywords: free action; $\mathrm{C}^*$-algebra; quantum group; factor system; finite covering.
Funding agency Grant number
Academy of Finland 271983
1138810
University of Hamburg
We would like to acknowledge the Center of Excellence in Analysis and Dynamics Research (Academy of Finland, decision no. 271983 and no. 1138810) for supporting this research. The second name author also thanks the research fonds of the Department of Mathematics of the University of Hamburg.
Received: April 5, 2017; in final form August 5, 2017; Published online August 9, 2017
Bibliographic databases:
Document Type: Article
MSC: 46L85; 37B05; 55R10; 16D70
Language: English
Citation: Kay Schwieger, Stefan Wagner, “Part III, Free Actions of Compact Quantum Groups on $\mathrm{C}^*$-Algebras”, SIGMA, 13 (2017), 062, 19 pp.
Citation in format AMSBIB
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