The boundary of universal discrete quantum groups, exactness, and factoriality
Vaes, Stefaan ; Vergnioux, Roland
Duke Math. J., Tome 136 (2007) no. 1, p. 35-84 / Harvested from Project Euclid
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We study the $C^*$ -algebras and von Neumann algebras associated with the universal discrete quantum groups. They give rise to full prime factors and simple exact $C^*$ -algebras. The main tool in our work is the study of an amenable boundary action, yielding the Akemann-Ostrand property. Finally, this boundary can be identified with the Martin or the Poisson boundary of a quantum random walk
Publié le : 2007-10-01
Classification:  46L55,  46L65,  46L54 
@article{1190730774,
     author = {Vaes, Stefaan and Vergnioux, Roland},
     title = {The boundary of universal discrete quantum groups, exactness, and factoriality},
     journal = {Duke Math. J.},
     volume = {136},
     number = {1},
     year = {2007},
     pages = { 35-84},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1190730774}
}

Vaes, Stefaan; Vergnioux, Roland. The boundary of universal discrete quantum groups, exactness, and factoriality. Duke Math. J., Tome 136 (2007) no. 1, pp.  35-84. http://gdmltest.u-ga.fr/item/1190730774/