OpenAI reports ordinary-to-strong pure infiniteness
- Mathematics
Every complex C∗-algebra in which each positive element is properly infinite is strongly purely infinite, satisfying the full positive-element diagonalization property.
OpenAI reports ordinary-to-strong pure infiniteness
- Mathematics
Every complex C∗-algebra in which each positive element is properly infinite is strongly purely infinite, satisfying the full positive-element diagonalization property.
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Read the background
Every complex C∗-algebra in which each positive element is properly infinite is strongly purely infinite, satisfying the full positive-element diagonalization property.
Why it matters
If correct, resolves the ordinary-to-strong implication without exactness, nuclearity, unitality or simplicity assumptions.
What counts as progress
Does proper infiniteness of every positive element imply strong pure infiniteness?
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