OpenAI reports the Kirchberg–Rørdam character criterion

For every nonzero unital separable complex C∗-algebra A and every free ultrafilter ω on the natural numbers, its norm central-sequence algebra has no characters if and only if A absorbs the Jiang–Su algebra under minimal tensor product.

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Understanding the problem

Read the background

For every nonzero unital separable complex C∗-algebra A and every free ultrafilter ω on the natural numbers, its norm central-sequence algebra has no characters if and only if A absorbs the Jiang–Su algebra under minimal tensor product.

Why it matters

If correct, gives a general central-sequence criterion for Jiang–Su absorption.

What counts as progress

Does absence of characters in the norm central-sequence algebra characterize Jiang–Su absorption?

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