Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 289-03. Close Separable C*-Algebras Without Spatial Conjugacy
Manuscript map · lines 8185–8194
OpenAI@2026-10-07#rem:oai-p-289-03
Authors: OpenAI. Family 289.
Title: Close Separable C*-Algebras Without Spatial Conjugacy.
Abstract: We disprove the separable C∗-algebraic spatial form of the Kadison–Kastler conjecture. For every ε > 0, we construct unital, norm-separable C∗-algebras on a common separable complex Hilbert space, with the same identity and Kadison–Kastler distance less than ε, that are not conjugate by any unitary. The two algebras have the same von Neumann closure.
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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