This is a survey article about a theory of a Poisson boundary associated with a discrete quantum group. The main problem of the theory, that is, the identification problem is explained and solved for some examples.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc89-0-20, author = {Reiji Tomatsu}, title = {Poisson boundaries of discrete quantum groups}, journal = {Banach Center Publications}, volume = {89}, year = {2010}, pages = {297-312}, zbl = {1214.46048}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc89-0-20} }
Reiji Tomatsu. Poisson boundaries of discrete quantum groups. Banach Center Publications, Tome 89 (2010) pp. 297-312. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc89-0-20/