Amenability and the bicrossed product construction

Details Amenability and the bicrossed product construction Amenability and the bicrossed product construction

2001-11-30

arxiv.org/abs/math/0111320v1

Illinois Journal of Mathematics 46 (2002), 1259--1277

Mathematics

Quantum Algebra

19 pages LaTeX

Scientific paper

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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