What was already known
Johnson had arbitrarily close separable nuclear examples without a near-identity implementing unitary, but they were spatially conjugate. Choi-Christensen close nonisomorphic examples used norm nonseparability. Christensen and collaborators proved spatial conjugacy for sufficiently close separable nuclear C*-algebras; the unrestricted separable spatial form remained open.
AI involvement
OpenAI is the manuscript's author. Its construction uses earlier human perturbation and representation theory; no individual model path or named human check is documented.
OpenAI is the credited author of the source manuscript, without evidence for the stronger autonomous label.
Importance
Claims a separable C*-algebra counterexample to unrestricted spatial Kadison–Kastler stability.
Limitations
The algebras are not unitarily conjugate, but abstract nonisomorphism is not claimed. They have the same von Neumann closure, so the construction is not a von Neumann counterexample. No completed check of the proof is documented.
Technical verification
The original source presents a detailed proof but reports no completed human or machine check of this counterexample.
Human understanding
The manuscript explains the sequence-algebra and relative tensor-norm mechanism, but no human explanation of it is documented. Few reflects that evidence gap.
Correction and publication history
Claims a separable C*-algebra counterexample to unrestricted spatial Kadison–Kastler stability.
Read this published revision