The canonical central exact sequence for locally compact quantum groups

2015/08/12 by Paweł Kasprzak, Kasprzak, Paweł, Adam Skalski +3
Mathematics · #FOS: Mathematics #Operator Algebras (math.OA) #Quantum Algebra (math.QA) #math.OA #math.QA

paper · pdf · doi:10.48550/arxiv.1508.02943

v4: 14 pages, modified title. The final version of the paper will appear in Mathematische Nachrichten

arxiv created 2016/08/12 · arxiv updated 2016/08/15

Abstract

For a locally compact quantum group \mathbbG we define its center, \mathscrZ(\mathbbG), and its quantum group of inner automorphisms, Inn(\mathbbG). We show that one obtains a natural isomorphism between Inn(\mathbbG) and \mathbbG/ \mathscrZ(\mathbbG), we characterize normal quantum subgroups of a compact quantum group as those left invariant by the action of the quantum group of inner automorphisms and discuss several examples.

Related

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