clopen.solutions

Open problems

1067 registered problems.

OP-00691 Solution claimed
Uniform spatial stability of von Neumann algebras
OA · AIM Open Applied Problems · Kadison–Kastler conjecture · perturbations of von Neumann algebras
OP-00993 Open
Bounded tensor length for group factors of property (T) groups
OA · group von Neumann algebras · Peterson's operator algebra problems · property (T) · tensor product decompositions
OP-01002 Open
Biexactness of the bidual of the reduced C*-algebra of F₂
OA · biexactness · enveloping von Neumann algebras · Peterson's operator algebra problems · reduced group C*-algebras
OP-01048 Solution claimed
Kadison's generator problem for von Neumann algebras
OA · generator problem · Peterson's operator algebra problems · single generation · von Neumann algebras
OP-01053 Solution claimed
Are ℓ²-Betti numbers of groups invariants of their group von Neumann algebras?
OA · group von Neumann algebras · ℓ²-Betti numbers · Peterson's operator algebra problems · W*-invariants
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-01058 Solution claimed
Do the group factors of PSLₙ(ℤ) remember n?
OA · group von Neumann algebras · lattices in Lie groups · Peterson's operator algebra problems · W*-rigidity
OP-01059 Needs verification
Finitely many groups with the same group factor, for property (T) groups
OA · group von Neumann algebras · Peterson's operator algebra problems · property (T) · W*-rigidity
OP-01060 Solution claimed
The Kadison–Ringrose vanishing cohomology conjecture
OA · derivations · Hochschild cohomology · Peterson's operator algebra problems · von Neumann algebras
OP-01061 Solution claimed
The invariant subspace problem relative to a von Neumann algebra
OA · invariant projections · invariant subspace problem · Peterson's operator algebra problems · von Neumann algebras