OpenAI reports failure of reduced Baum–Connes injectivity
- Mathematics
A finitely generated torsion-free group has an infinite-order degree-zero K-homology class in the kernel of the coefficient-free reduced Baum–Connes assembly map.
OpenAI reports failure of reduced Baum–Connes injectivity
- Mathematics
A finitely generated torsion-free group has an infinite-order degree-zero K-homology class in the kernel of the coefficient-free reduced Baum–Connes assembly map.
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Read the background
A finitely generated torsion-free group has an infinite-order degree-zero K-homology class in the kernel of the coefficient-free reduced Baum–Connes assembly map.
Why it matters
If correct, disproves rational injectivity of the coefficient-free reduced Baum–Connes map for torsion-free groups.
What counts as progress
Can reduced Baum–Connes assembly fail rational injectivity for a torsion-free group?
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