OpenAI reports a single generator for separable-predual II₁ factors
- Mathematics
Every type II₁ factor with separable predual is generated as a von Neumann algebra by one bounded operator, equivalently two self-adjoint operators.
OpenAI reports a single generator for separable-predual II₁ factors
- Mathematics
Every type II₁ factor with separable predual is generated as a von Neumann algebra by one bounded operator, equivalently two self-adjoint operators.
Curated contributions 1
Understand the problem ↓Understanding the problem
Read the background
Every type II₁ factor with separable predual is generated as a von Neumann algebra by one bounded operator, equivalently two self-adjoint operators.
Why it matters
If correct, resolves the generator problem for type II₁ factors with separable predual and, with the established reduction, for all von Neumann algebras with separable predual.
What counts as progress
Can every type II₁ factor with separable predual be generated by one operator?
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Publication dates and editorial changes.
OpenAI reports a single generator for separable-predual II₁ factors