On amenability and co-amenability of algebraic quantum groups and their corepresentations

On amenability and co-amenability of algebraic quantum groups and their corepresentations

We introduce and study several amenability properties for unitary corepresentations and *-representations of algebraic quantum groups, which may be used to characterize amenability or co-amenability of such groups. As a background for this study, we also investigate the involved tensor C*-categories...

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Hauptverfasser: Bedos, Erik Christopher, Conti, Roberto, Tuset, Lars
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creator Bedos, Erik Christopher
Conti, Roberto
Tuset, Lars
description We introduce and study several amenability properties for unitary corepresentations and *-representations of algebraic quantum groups, which may be used to characterize amenability or co-amenability of such groups. As a background for this study, we also investigate the involved tensor C*-categories Subj. Class.: Quantum groups, representations and corepresentations, amenability. MSC 2000: Primary 46L05, 46L65. Secondary 22D10, 22D25, 43A07, 43A65, 58B32. Keywords: quantum group, amenability.
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title On amenability and co-amenability of algebraic quantum groups and their corepresentations
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