Amenability and the bicrossed product construction

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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.
19 pages LaTeX

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Quantum Algebra, Operator Algebras

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http://salesiana.dossiersoluciones.com/handle/123456789/62773

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0111320
 http://arxiv.org/abs/math/0111320
 Illinois Journal of Mathematics 46 (2002), 1259--1277

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arXiv