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

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

2001-11-02

arxiv.org/abs/math/0111027v2

Mathematics

Operator Algebras

46 pages, (some misprints corrected, a couple of remarks and a new reference added)

Scientific paper

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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