Vanishing of higher bounded Hochschild cohomology
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OpenAI
We prove that every bounded Hochschild cocycle of degree at least two on a complex von Neumann algebra, with values in the algebra itself, has a bounded primitive. Together with the established degree-one inner-derivation theorem, this resolves the Kadison--Ringrose cohomology conjecture positively.
Claims
SOLUTION CLAIMED
OP-01060 — The Kadison–Ringrose vanishing cohomology conjecture
Files and sources
- Paper
- math @ 7ef5c0c, build/paper.tex ↗
- Posted on GitHub
- 6 October 2026
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