Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 297-01. A counterexample to Naimark's problem in ZFC
Manuscript map · lines 8315–8324
OpenAI@2026-10-07#rem:oai-p-297-01
Authors: OpenAI. Family 297.
Title: A counterexample to Naimark's problem in ZFC.
Abstract: We construct in ZFC a unital infinite-dimensional simple complex C∗-algebra with a faithful tracial state whose nonzero irreducible representations are all unitarily equivalent. This gives a negative answer to Naimark's problem without additional set-theoretic assumptions.
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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