Induced corepresentations of locally compact quantum groups

2000/05/26 by Johan Kustermans, Kustermans, Johan · 1 citation
Mathematics · #47D25 #47D40 #FOS: Mathematics #Operator Algebras (math.OA) #math.OA #msc:47D25 #msc:47D40

paper · pdf · doi:10.48550/arxiv.math/0005265

Latex2e, 32 pages

arxiv created 2000/05/27 · arxiv updated 2009/11/30

Abstract

We introduce the construction of induced corepresentations in the setting of locally compact quantum groups and prove that the resulting induced corepresentations are unitary under some mild integrability condition. We also establish a quantum analogue of the classical bijective correspondence between quasi-invariant measures and certain measures on the larger locally compact group.

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