The boundary of universal discrete quantum groups, exactness and factoriality

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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.
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Operator Algebras, Quantum Algebra

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http://salesiana.dossiersoluciones.com/handle/123456789/138644

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0509706
 http://arxiv.org/abs/math/0509706
 Duke Mathematical Journal, Vol. 140, 2007, p. 35--84.

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arXiv