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1 October 2007 The boundary of universal discrete quantum groups, exactness, and factoriality
Stefaan Vaes, Roland Vergnioux
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Duke Math. J. 140(1): 35-84 (1 October 2007). DOI: 10.1215/S0012-7094-07-14012-2

Abstract

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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Stefaan Vaes. Roland Vergnioux. "The boundary of universal discrete quantum groups, exactness, and factoriality." Duke Math. J. 140 (1) 35 - 84, 1 October 2007. https://doi.org/10.1215/S0012-7094-07-14012-2

Information

Published: 1 October 2007
First available in Project Euclid: 25 September 2007

zbMATH: 1129.46062
MathSciNet: MR2355067
Digital Object Identifier: 10.1215/S0012-7094-07-14012-2

Subjects:
Primary: 46L55
Secondary: 46L54, 46L65

Rights: Copyright © 2007 Duke University Press

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Vol.140 • No. 1 • 1 October 2007
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