Open Access
October, 2006 Amenable discrete quantum groups
Reiji TOMATSU
J. Math. Soc. Japan 58(4): 949-964 (October, 2006). DOI: 10.2969/jmsj/1179759531

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.

Citation

Download Citation

Reiji TOMATSU. "Amenable discrete quantum groups." J. Math. Soc. Japan 58 (4) 949 - 964, October, 2006. https://doi.org/10.2969/jmsj/1179759531

Information

Published: October, 2006
First available in Project Euclid: 21 May 2007

zbMATH: 1129.46061
MathSciNet: MR2276175
Digital Object Identifier: 10.2969/jmsj/1179759531

Subjects:
Primary: 46L65

Keywords: amenability , quantum groups

Rights: Copyright © 2006 Mathematical Society of Japan

Vol.58 • No. 4 • October, 2006
Back to Top