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      Open quantum subgroups of locally compact quantum groups

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          Abstract

          The notion of an open quantum subgroup of a locally compact quantum group is introduced and given several equivalent characterizations in terms of group-like projections, inclusions of quantum group C*-algebras and properties of respective quantum homogenous spaces. Open quantum subgroups are shown to be closed in the sense of Vaes and normal open quantum subgroups are proved to be in 1-1 correspondence with normal compact quantum subgroups of the dual quantum group.

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          Most cited references 9

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          Locally compact quantum groups

           J KUSTERMANS,  S VAES (2000)
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            Induced representations of C∗-algebras

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              A new approach to induction and imprimitivity results

               Stefaan Vaes (2005)
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                Author and article information

                Journal
                1511.03952

                Algebra

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