We apply realization theory of noncommutative (NC) rational multipliers of the Fock space, or free Hardy space of square–summable power series in several noncommuting variables to the convex analysis of states on the Cuntz algebra. We show, in particular, that a large class of Cuntz states that arise as the “NC Clark measures” of isometric NC rational multipliers are peak states for Popescu's free disk algebra in the sense of Clouâtre and Thompson.

中文翻译：

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Rational Cuntz 阐述了自由磁盘代数的峰值

我们将福克空间的非交换（NC）有理乘子的实现理论或几个非交换变量的平方可和幂级数的自由哈迪空间应用于 Cuntz 代数状态的凸分析。我们特别表明，作为等距 NC 有理乘子的“NC Clark 度量”而出现的一大类 Cuntz 状态是 Clouâtre 和 Thompson 意义上的 Popescu 自由盘代数的峰值状态。