发表机构
University of Haifa; Texas Christian University（海法大学; 德克萨斯基督教大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文分类了有限简单无向图，证明其图算子系统是C*-核的当且仅当图为2-弦图，并首次给出非弦图但算子系统为C*-核的例子及非C*-核的例子。
AI 中文摘要
我们对有限简单无向图进行分类，这些图对应的图算子系统是C*-核的。我们证明了图相关的算子系统是C*-核的当且仅当该图是2-弦图（2-chordal），如McCullough所定义。特别地，我们给出了第一个已知的非弦图（non-chordal）例子，其图算子系统是C*-核的，同时也给出了第一个已知的图算子系统不是C*-核的例子。
英文摘要
We classify the set of finite simple undirected graphs whose corresponding graph operator system is C*-nuclear. We prove that the operator system associated to the graph is C*-nuclear if and only if the graph is 2-chordal, as defined by McCullough. In particular, we present the first known example of a non-chordal graph whose graph operator system is C*-nuclear, as well as the first known examples of graph operator systems which are not C*-nuclear.
Comments18 pages, comments to the authors are welcome!
