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Approximation properties for free orthogonal and free unitary quantum groups
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Michael Brannan
Published/Copyright:
December 3, 2011
Abstract
In this paper, we study the structure of the reduced C*-algebras and von Neumann algebras associated to the free orthogonal and free unitary quantum groups. We show that the reduced von Neumann algebras of these quantum groups always have the Haagerup approximation property. Combining this result with a Haagerup-type inequality due to Vergnioux, we also show that the reduced C*-algebras always have the metric approximation property.
Received: 2011-03-13
Revised: 2011-04-21
Published Online: 2011-12-03
Published in Print: 2012-11
©[2012] by Walter de Gruyter Berlin Boston
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Articles in the same Issue
- Evolution families and the Loewner equation I: the unit disc
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- Indefinite extrinsic symmetric spaces II
- A parabolic flow toward solutions of the optimal transportation problem on domains with boundary
- A proof of Subbarao's conjecture
- Regularized theta lifts for orthogonal groups over totally real fields
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