Subalgebras of infinite C*-algebras with finite Watatani indices I. Cuntz algebras
Subalgebras of infinite C*-algebras with finite Watatani indices I. Cuntz algebras
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具有有限 Watatani 指数的无限 C* 代数的子代数 I. Cuntz 代数
DOI：
10.1007/bf02100056
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发表时间：
1993
影响因子：
2.4
通讯作者：
Masaki Izumi
中科院分区：
文献类型：
--
作者：
Masaki Izumi
摘要以扇区融合规则为工作假设，构造了Cuntz代数的自同态
$$\数学{O}_n$$
其图像具有有限的Watatani指数。准自由KMS状态打开
$$\数学{O}_n$$
以与自同态相关的自然方式出现，我们确定了它们的GNS表示的Murray-von Neumann-Connes类型。
AbstractUsing fusion rules of sectors as a working hypothesis, we construct endomorphisms of the Cuntz algebra
$$\mathcal{O}_n $$
whose images have finite Watatani indices. Quasi-free KMS states on
$$\mathcal{O}_n $$
appear in a natural way associated with the endomorphisms, and we determine the Murray-von Neumann-Connes types of their GNS representations.