Abstract

We classify Bogolyubov endomorphisms of the CCR algebra over a general test function space. This classification requires a non-commutative extension of the usual hyperbolic functions. We consider semi-groups of such endomorphisms and characterize their generators under the assumption of norm continuity.

中文翻译：

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Bogolyubov内同态和非交换双曲函数

摘要

我们将CCR代数的Bogolyubov同态分类在一般的测试函数空间上。此分类需要常规双曲函数的非交换扩展。我们考虑这类内同态的半群，并在规范连续性的假设下表征它们的生成器。