Remark: Family 296. The generator problem for finite factors

Proves that every type ${\mathrm{II}}_1$ factor with separable predual is generated by a single operator, equivalently by two self-adjoint operators, resolving the generator problem. More strongly, for every irreducible inclusion $P\subset M$ of such factors, the unitaries $u$ with $M=W^{\ast }(P,u)$ form a dense $G_{\delta }$ subset in the trace $2$-norm topology.

The authors are OpenAI. This companion does not verify the proof. The claim is not a theorem of the Enter series and not a premise of any registered sheet. It does not close O.1. O.1 stays NOT_CLOSED. It is not a de Sitter state and not the QdS external-leg scheme. No quantum coefficient is admitted. No compilation is asserted.