OpenAI reports a nuclear norm-ultrapower embedding obstruction

An explicit separable unital full group C∗-algebra admits no unital embedding into the norm ultrapower B^ω of any nonzero unital nuclear C∗-algebra B for any free ultrafilter ω on the natural numbers.

Curated contributions 1

Understand the problem ↓

Understanding the problem

Read the background

An explicit separable unital full group C∗-algebra admits no unital embedding into the norm ultrapower B^ω of any nonzero unital nuclear C∗-algebra B for any free ultrafilter ω on the natural numbers.

Why it matters

If correct, answers the norm-ultrapower embedding problem negatively with one algebra that works against every nuclear target.

What counts as progress

Does every separable C∗-algebra embed into a nuclear norm ultrapower?

Website timeline

Publication dates and editorial changes.