OP-01054 Needs verification Connes's rigidity conjecture for property (T) groups OA · Connes's rigidity conjecture · group von Neumann algebras · Peterson's operator algebra problems · property (T) · W*-rigidity
OP-01055 Solution claimed Connes's rigidity conjecture for lattices in higher-rank simple Lie groups OA · Connes's rigidity conjecture · lattices in Lie groups · Peterson's operator algebra problems · W*-rigidity
OP-01056 Solution claimed Popa's strong form of Connes's rigidity conjecture for higher-rank lattices OA · amplifications · Connes's rigidity conjecture · lattices in Lie groups · Peterson's operator algebra problems · W*-superrigidity