不可分解MD5-Groups的子类的一般K-轨道所形成的叶状结构的拓扑
The Topology of Foliations Formed by the Generic K-Orbits of a Subclass of the Indecomposable MD5-Groups
摘要：
本文是作者[13]、[14]的继续。特别地，本文考虑了与连通和单连通MD5-群相关联的MD5-叶理，使得它们的李代数具有4维交换导理想。本文给出了所有MD5-叶层的拓扑分类。本文还给出了这些叶理的某些纤维化或$\mathbb{R}^{2}$的适当作用的描述，以及由纤维化产生的叶理的Connes C ~*-代数。
英文摘要：
The present paper is a continuation of [13], [14] of the authors. Specifically, the paper considers the MD5-foliations associated to connected and simply connected MD5-groups such that their Lie algebras have 4-dimensional commutative derived ideal. In the paper, we give the topological classification of all considered MD5-foliations. A description of these foliations by certain fibrations or suitable actions of $\mathbb{R}^{2}$ and the Connes' C*-algebras of the foliations which come from fibrations are also given in the paper.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
