OpenAI reports vanishing of higher bounded Hochschild cohomology
- Mathematics
For every complex von Neumann algebra M and every integer k≥2, each bounded M-valued Hochschild k-cocycle has a bounded M-valued primitive, so Hᵏ_b(M,M)=0.
OpenAI reports vanishing of higher bounded Hochschild cohomology
- Mathematics
For every complex von Neumann algebra M and every integer k≥2, each bounded M-valued Hochschild k-cocycle has a bounded M-valued primitive, so Hᵏ_b(M,M)=0.
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Understand the problem ↓Understanding the problem
Read the background
For every complex von Neumann algebra M and every integer k≥2, each bounded M-valued Hochschild k-cocycle has a bounded M-valued primitive, so Hᵏ_b(M,M)=0.
Why it matters
If correct, resolves the higher-degree part of the Kadison–Ringrose cohomology conjecture.
What counts as progress
Does bounded Hochschild cohomology vanish in every higher degree for von Neumann algebras?
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OpenAI reports vanishing of higher bounded Hochschild cohomology