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.
École Normale Supérieure, Département de mathématiques et applications, 45 rue d’Ulm, 75230 Paris Cedex 05, FRANCE Email address:shuoxing.zhou@ens.psl.eu
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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.