Exactness of the Fock Space Representation of the q-Commutation Relations

被引：0
|
作者：
Matthew Kennedy
Alexandru Nica
机构：
[1] University of Waterloo,Pure Mathematics Department
来源：
Communications in Mathematical Physics | 2011年 / 308卷
关键词：
Creation Operator; Cuntz Algebra; Generalize Brownian Motion; Free Entropy Dimension; Left Creation Operator;
D O I：
暂无
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学科分类号：
摘要：
We show that for all q in the interval (−1, 1), the Fock representation of the q-commutation relations can be unitarily embedded into the Fock representation of the extended Cuntz algebra. In particular, this implies that the C*-algebra generated by the Fock representation of the q-commutation relations is exact. An immediate consequence is that the q-Gaussian von Neumann algebra is weakly exact for all q in the interval (−1, 1).
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页码：115 / 132
页数：17
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