AI 中文总结
本文提出通用Sunada-Pesce-Sutton型方法构造等谱度量测度空间对，利用表示论假设给出RCD空间等实例，应用中构造了两类特定的等谱非等距空间对。
AI 中文摘要
本文提出一种通用的Sunada-Pesce-Sutton型方法，可构造等谱度量测度空间对，该构造依赖表示论假设，给出满足条件的空间实例如RCD空间；作为应用，构造了一对单连通、等谱、非等距的RCD非Alexandrov空间，以及一对Alexandrov非轨形空间。
英文摘要
In this paper, we provide a general Sunada--Pesce--Sutton-type method that produces pairs of isospectral metric measure spaces. This construction relies on a representation theoretic assumption, and we give examples of spaces satisfying this condition, such as RCD spaces. As an application, we construct a pair of simply connected isospectral, non-isometric RCD non-Alexandrov spaces and a pair of Alexandrov non-orbifold spaces.
