精选理由
论文给出了Connes刚性猜想的具体反例，两个不同构的ICC性质T群居然有同构的群von Neumann代数，搞算子代数的人值得一看。
arXiv论文构造了两个可数离散群Γ1和Γ2，二者均为ICC群且具有Kazhdan性质(T)，但两群不同构。它们的群von Neumann代数却同构，即L(Γ1)≅L(Γ2)。该结果构成Connes刚性猜想在ICC性质(T)群情形下的反例。论文注明该结果由GPT-5.6 Sol辅助获得，并与OpenAI的工作独立且同时完成。
原文 · arXiv: OpenAI
ICC property(T) groups without W$^*$-superrigidity
We construct two explicit countable discrete groups $Γ_1$ and $Γ_2$ that are both ICC and have Kazhdan's property (T). Although $Γ_1$ and $Γ_2$ are not isomorphic as groups, their group von Neumann algebras are isomorphic: $L(Γ_1)\cong L(Γ_2)$. This provides a counterexample to Connes' rigidity conjecture for ICC property (T) groups. This result was obtained with assistance from GPT-5.6 Sol, independently of and concurrently with work by OpenAI.