Amenable discrete quantum groups
TOMATSU, Reiji
J. Math. Soc. Japan, Tome 58 (2006) no. 3, p. 949-964 / Harvested from Project Euclid
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.
Publié le : 2006-10-14
Classification:  amenability,  quantum groups,  46L65
@article{1179759531,
     author = {TOMATSU, Reiji},
     title = {Amenable discrete quantum groups},
     journal = {J. Math. Soc. Japan},
     volume = {58},
     number = {3},
     year = {2006},
     pages = { 949-964},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1179759531}
}
TOMATSU, Reiji. Amenable discrete quantum groups. J. Math. Soc. Japan, Tome 58 (2006) no. 3, pp.  949-964. http://gdmltest.u-ga.fr/item/1179759531/