通用离散量子群的CCAP
CCAP for universal discrete quantum groups
摘要：
证明了自由正交量子群的离散群具有Haagerup性质和完全压缩近似性质。类似的结果也适用于有限维C* 代数的自由酉量子群和量子自同构群。证明依赖于自由正交量子群与SUq（2）量子群之间的么半群等价性，依赖于构造SUq（2）量子群的有界中心泛函的充分供给，以及Ricard和Xu的自由积技巧.我们的研究结果推广了以前的工作，在Kac设置由于布兰南的Haagerup属性，并由于第二作者的CCAP。
英文摘要：
We show that the discrete duals of the free orthogonal quantum groups have the Haagerup property and the completely contractive approximation property. Analogous results hold for the free unitary quantum groups and the quantum automorphism groups of finite-dimensional C*-algebras. The proof relies on the monoidal equivalence between free orthogonal quantum groups and SUq(2) quantum groups, on the construction of a sufficient supply of bounded central functionals for SUq(2) quantum groups, and on the free product techniques of Ricard and Xu. Our results generalize previous work in the Kac setting due to Brannan on the Haagerup property, and due to the second author on the CCAP.
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