论文标题
每个可数的小组都承认对稳定有限的简单C* - 代数
Every countable group admits amenable actions on stably finite simple C*-algebras
论文作者
论文摘要
我们给出了(不符合群体)对稳定有限的简单C* - 代数的第一个例子。更确切地说,我们以明确的方式为任何可计数组做出这样的行动。我们构造的主要成分是常规表示的完整空间和痕量缩放的自动形态。
We give the first examples of (non-amenable group) amenable actions on stably finite simple C*-algebras. More precisely, we give such actions for any countable group in an explicit way. The main ingredients of our construction are the full Fock space of the regular representation and a trace-scaling automorphism.