The boundary of universal discrete quantum groups, exactness and factoriality
Vaes, Stefaan ; Vergnioux, Roland
HAL, hal-00425388 / Harvested from HAL
Text on HAL
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 : 2007-07-05
Classification:  [MATH.MATH-OA]Mathematics [math]/Operator Algebras [math.OA],  [MATH.MATH-QA]Mathematics [math]/Quantum Algebra [math.QA] 
@article{hal-00425388,
     author = {Vaes, Stefaan and Vergnioux, Roland},
     title = {The boundary of universal discrete quantum groups, exactness and factoriality},
     journal = {HAL},
     volume = {2007},
     number = {0},
     year = {2007},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00425388}
}

Vaes, Stefaan; Vergnioux, Roland. The boundary of universal discrete quantum groups, exactness and factoriality. HAL, Tome 2007 (2007) no. 0, . http://gdmltest.u-ga.fr/item/hal-00425388/