关于泛 C* - 代数的笔记
Notes on universal C*-algebras
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中文总结 AI 辅助
笔记详细阐述了泛 C* - 代数由 Blackadar 从自由 * - 代数开始的构造,以及 Boava 和作者纳入强算子拓扑关系的扩展,还以图 C* - 代数能用无穷和定义为例说明。
中文摘要 AI 辅助
在这些笔记中,我们详细解释了如 Blackadar 所做的泛 C* - 代数的构造,从自由 * - 代数的构造开始。最后,我们解释了 Boava 和作者所做的扩展,以纳入用强算子拓扑描述的关系。作为一个例子,我们展示了图 C* - 代数可以用无穷和来定义。
英文摘要
In these notes, we explain in details the construction of the universal C*-algebra as done by Blackadar, starting with the construction of the free *-algebra. At the end, we explain the extension done by Boava and the author to include relations described using the strong operator topology. As an example, we show that a graph C*-algebra can be defined using infinite sums.