分次C*-代数的森田等价
Morita equivalence of graded C*-algebras
浏览论文内容
中文总结 AI 辅助
该研究定义分次C*-代数的两种森田等价概念并给出对应稳定化定理，将结果应用于有限正则图，引入带全不连通谱的Cartan子代数并得到对应稳定化定理。
中文摘要 AI 辅助
我们定义了分次C*-代数的两种森田等价概念：分次森田等价与齐次森田等价，并为这两种分次等价概念提供了Brown-Green-Rieffel型稳定化定理。我们将所得结果应用于有限正则图，通过建立分次C*-代数与余作用之间的明确关联实现应用。最后，我们引入具有全不连通谱的Cartan子代数，针对这些情形得到了对应的Brown-Green-Rieffel型稳定化定理。
英文摘要
We define two notions of Morita equivalence for graded C*-algebras (graded Morita equivalence and homogeneous Morita equivalence) and provide Brown-Green-Rieffel Stabilization Type Theorems for both notions of graded equivalence. We apply our results to finite regular graphs by establishing an explicit connection between graded C*-algebras and coactions. Lastly, we incorporate Cartan subalgebras with totally disconnected spectra and obtain Brown-Green-Rieffel Stabilization Type Theorems for these cases.
