Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f

Remark: 285-02. A torsion-free counterexample to the Kadison–Kaplansky projection conjecture

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Authors: OpenAI. Family 285.

Title: A torsion-free counterexample to the Kadison–Kaplansky projection conjecture.

Abstract: We construct a finitely generated torsion-free discrete group whose reduced group C∗-algebra contains a projection other than zero and the identity. This disproves the Kadison–Kaplansky projection conjecture.

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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