Amenable Discrete Quantum Groups

2003/02/28 by Reiji Tomatsu · 1 citation
Mathematics · #math.OA #msc:46L65

paper · pdf

published as Journal of the Mathematical Society of Japan 58 (2006), 949-964 · 16 pages, minor corrections

arxiv created 2006/11/12 · arxiv updated 2009/11/30

Abstract

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.

Cited by

• Amenability of locally compact quantum groups via the long-time behavior of convolution semigroups