Extensions of locally compact quantum groups and the bicrossed product construction |
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| Authors: | Stefaan Vaes Leonid Vainerman |
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| Affiliation: | a Department of Mathematics, K.U.Leuven, Celestijnenlaan 200 B, B-3001 Leuven, Belgium
b Département de Mathématiques et Mécanique, Université de Caen, Campus II, B.P. 5186, F-14032 Caen Cedex, France |
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| Abstract: | In the framework of locally compact quantum groups, we study cocycle actions. We develop the cocycle bicrossed product construction, starting from a matched pair of locally compact quantum groups. We define exact sequences and establish a one-to-one correspondence between cocycle bicrossed products and cleft extensions. In this way, we obtain new examples of locally compact quantum groups. |
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| Keywords: | 46L65 (primary) 46L87 16S40 (secondary) |
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