Induced corepresentations of locally compact quantum groups

Mathematics – Operator Algebras

Scientific paper

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Latex2e, 32 pages

Scientific paper

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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