Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 292-01. An explicit obstruction to nuclear norm-ultrapower embeddings
Manuscript map · lines 8255–8264
OpenAI@2026-10-07#rem:oai-p-292-01
Authors: OpenAI. Family 292.
Title: An explicit obstruction to nuclear norm-ultrapower embeddings.
Abstract: We give a negative answer to Kirchberg's norm-ultrapower embedding problem. We construct an explicit separable unital full group C∗-algebra that admits no unital embedding into Bω, for any nonzero unital nuclear C∗-algebra B and any free ultrafilter ω on ℕ. In particular, it does not embed unitally into ${}mathcal O_2{}{}omega$.
This abstract is a catalogue record. It is not a verification and not a premise. It does not close O.1. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.
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