The boundary of universal discrete quantum groups, exactness and factoriality

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dc.creatorVaes, Stefaan
dc.creatorVergnioux, Roland
dc.date2005-09-29
dc.date2006-07-07
dc.date.accessioned2026-07-07T08:31:55Z
dc.date.available2026-07-07T08:31:55Z
dc.descriptionWe 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.
dc.descriptionCorrection in postal adress
dc.identifierhttps://arxiv.org/abs/math/0509706
dc.identifierhttp://arxiv.org/abs/math/0509706
dc.identifierDuke Mathematical Journal, Vol. 140, 2007, p. 35--84.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/138644
dc.subjectOperator Algebras
dc.subjectQuantum Algebra
dc.titleThe boundary of universal discrete quantum groups, exactness and factoriality
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