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A Torsion-Free Group Algebra That Is Not Directly Finite

OpenAI

OpenAI Mathopenai-math/A-Torsion-Free-Group-Algebra-That-Is-Not-Directly-FiniteOct 4, 2026math.RAAI-generatedscore 0

We construct a finitely presented torsion-free counterexample to Kaplansky's direct finiteness conjecture over the field of two elements. The group admits a finite two-dimensional classifying complex.

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