Amenable Discrete Quantum Groups

Details Amenable Discrete Quantum Groups Amenable Discrete Quantum Groups

2003-02-19

arxiv.org/abs/math/0302222v2

Journal of the Mathematical Society of Japan 58 (2006), 949-964

Mathematics

Operator Algebras

16 pages, minor corrections

Scientific paper

Z.-J. Ruan has shown that several amenability conditions are all equivalent
in the case of discrete Kac algebras. In this paper, we extend this work to the
case of discrete quantum groups. That is, we show that a discrete quantum
group, where we do not assume its unimodularity, has an invariant mean if and
only if it is strongly Voiculescu amenable.

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