TY - JOUR
T1 - Amenable discrete quantum groups
AU - Tomatsu, Reiji
PY - 2006/10
Y1 - 2006/10
N2 - 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.
AB - 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.
KW - Amenability
KW - Quantum groups
UR - http://www.scopus.com/inward/record.url?scp=33846280176&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=33846280176&partnerID=8YFLogxK
U2 - 10.2969/jmsj/1179759531
DO - 10.2969/jmsj/1179759531
M3 - Article
AN - SCOPUS:33846280176
SN - 0025-5645
VL - 58
SP - 949
EP - 964
JO - Journal of the Mathematical Society of Japan
JF - Journal of the Mathematical Society of Japan
IS - 4
ER -