We answer a question of Skalski and Sołan (2016) about inner faithfulness of the Curran’s map of extending a quantum increasing sequence to a quantum permutation. Roughly speaking, we find a inductive setting in which the inner faithfulness of Curran’s map can be boiled down to inner faithfulness of similar map for smaller algebras and then rely on inductive generation result for quantum permutation groups of Brannan, Chirvasitu and Freslon (2018).

中文翻译：

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量子增加序列产生量子排列群

我们回答了 Skalski 和 Sołan（2016 年）关于 Curran 将量子递增序列扩展到量子置换的图的内在忠实性的问题。粗略地说，我们找到了一个归纳设置，其中 Curran 映射的内部忠实度可以归结为较小代数的相似映射的内部忠实度，然后依赖于 Brannan、Chirvasitu 和 Freslon (2018) 的量子置换群的归纳生成结果。