We present a new more flexible definition of interacting Fock space that allows to resolve in full generality the problem of embeddability. We show that the same is not possible for regularity. We apply embeddability to classify interacting Fock spaces by squeezings. We give necessary and sufficient criteria for when an interacting Fock space has only bounded creators, giving thus rise to new classes of non-selfadjoint and selfadjoint operator algebras.

中文翻译：

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交互 Fock 空间和子产品系统

我们提出了一个新的更灵活的交互 Fock 空间定义，它可以完全解决可嵌入性问题。我们表明，规律性是不可能的。我们应用可嵌入性通过挤压对交互的 Fock 空间进行分类。当交互的 Fock 空间只有有界的创建者时，我们给出了必要和充分的标准，从而产生了非自伴随和自伴随算子代数的新类。