发表机构
University of Waterloo（滑铁卢大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究提出C*-动力系统的强极小性概念，其在非交换情形下可解决通常极小性定义的缺陷，与Rørdam的C*-不可约包含概念密切相关，并给出该性质在约化交叉积等结构中的多种刻画。
AI 中文摘要
我们考虑C*-动力系统的一种替代极小性概念，称之为强极小性。该概念在交换情形下与通常的极小性定义一致，但在非交换情形下与之显著不同，我们认为这一差异可解决通常定义中的若干基本缺陷。我们证明强极小性与Rørdam的C*-不可约包含概念密切相关，为这类包含的研究提供了新视角。我们给出该性质的多种刻画，包括约化交叉积、张量积及次齐次C*-代数的情形。
英文摘要
We consider an alternative notion of minimality for C*-dynamical systems, which we refer to as strong minimality. This notion coincides with the usual definition of minimality in the commutative setting, but diverges sharply from it in the noncommutative setting in a way which we argue addresses several fundamental defects in the usual definition. We demonstrate that strong minimality is deeply connected with Rørdam's notion of a C*-irreducible inclusion, giving a new perspective on the study of such inclusions. We provide various characterizations of this property, including for reduced crossed products, tensor products, and subhomogeneous C*-algebras.
