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

被引：10

作者：

Kennedy, Matthew ^{[1
]}

Nica, Alexandru ^{[1
]}

机构：

[1] Univ Waterloo, Dept Pure Math, Waterloo, ON N2L 3G1, Canada

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2011年 / 308卷 / 01期

基金：

加拿大自然科学与工程研究理事会;

关键词：

FREE ENTROPY DIMENSION; VON-NEUMANN-ALGEBRAS; FACTORIALITY;

D O I：

10.1007/s00220-011-1323-9

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

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).

引用

页码：115 / 132

页数：18

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