Two non-isomorphic ICC property (T) groups Γ1, Γ2 with isomorphic group von Neumann algebras are constructed explicitly, refuting Connes' rigidity conjecture for ICC property (T) groups.
[CIOS26b] Ionuţ Chifan, Adrian Ioana, Denis Osin, and Bin Sun
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ICC property(T) groups without W$^*$-superrigidity
Two non-isomorphic ICC property (T) groups Γ1, Γ2 with isomorphic group von Neumann algebras are constructed explicitly, refuting Connes' rigidity conjecture for ICC property (T) groups.