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Winter 2002 Amenability and the bicrossed product construction
Pieter Desmedt, Johan Quaegebeur, Stefaan Vaes
Illinois J. Math. 46(4): 1259-1277 (Winter 2002). DOI: 10.1215/ijm/1258138478

Abstract

We study stability properties of amenable locally compact quantum groups under the bicrossed product construction. We obtain as our main result an equivalence between amenability of the bicrossed product and amenability of the matched quantum groups used as building ingredients of the bicrossed product. Finally, we give examples of non-amenable locally compact quantum groups obtained by a bicrossed product construction.

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Pieter Desmedt. Johan Quaegebeur. Stefaan Vaes. "Amenability and the bicrossed product construction." Illinois J. Math. 46 (4) 1259 - 1277, Winter 2002. https://doi.org/10.1215/ijm/1258138478

Information

Published: Winter 2002
First available in Project Euclid: 13 November 2009

zbMATH: 1035.46042
MathSciNet: MR1988262
Digital Object Identifier: 10.1215/ijm/1258138478

Subjects:
Primary: 46L89
Secondary: ‎43A07‎, 46L55

Rights: Copyright © 2002 University of Illinois at Urbana-Champaign

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Vol.46 • No. 4 • Winter 2002
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