{"id":"openai-math/Vanishing-of-higher-bounded-Hochschild-cohomology","pdf":"https://github.com/openai/math/blob/main/preprints/Vanishing-of-higher-bounded-Hochschild-cohomology-September-23-2026/paper.pdf","url":"https://github.com/openai/math/tree/main/preprints/Vanishing-of-higher-bounded-Hochschild-cohomology-September-23-2026","tags":["operator-algebras","hochschild-cohomology","von-neumann-algebras"],"score":0,"title":"Vanishing of higher bounded Hochschild cohomology","domain":"Operator algebras","family":"295","origin":"ai-generated","source":"openai-math","authors":["OpenAI"],"reviews":0,"subject":"math.OA","summary":"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.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":0,"published":"2026-09-23","reactions":{},"formalized":false,"family_title":"The Kadison–Ringrose cohomology conjecture"}