OP-00969 Open Cocycle superrigidity of Bernoulli actions of groups with vanishing first ℓ²-Betti number OA · Bernoulli actions · cocycle superrigidity · ℓ²-Betti numbers · Peterson's operator algebra problems
OP-00970 Open Trivial fundamental group for Bernoulli crossed products OA · Bernoulli actions · fundamental group of II₁ factors · ℓ²-Betti numbers · Peterson's operator algebra problems
OP-00977 Open Unique Cartan subalgebra for Bernoulli crossed products OA · Bernoulli actions · Cartan subalgebras · group measure space construction · Peterson's operator algebra problems