ICC Property (T) Groups without W*-Superrigidity

发布时间:2026-08-03浏览次数:10


Title: ICC Property (T) Groups without W*-Superrigidity

Speaker: Shuoxing ZhouÉcole Normale Supérieure

 

Time: 8.12 (Wednesday), 16:00-17:00

Venue: Gewu Building, Room 315


Abstract:FI will begin with a brief introduction to Connes' rigidity conjecture for ICC property (T) groups. I will then present two explicit countable discrete groups Γ and Γ2, both of which are ICC and have Kazhdan' s property (T). Although Γ and Γ2 are not isomorphic as groups, their group von Neumann algebras are isomorphic: L(Γ1)  L(Γ2). This provides a coun-terexample 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.






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