Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 295-01. Vanishing of higher bounded Hochschild cohomology
Manuscript map · lines 8295–8304
OpenAI@2026-10-07#rem:oai-p-295-01
Authors: OpenAI. Family 295.
Title: Vanishing of higher bounded Hochschild cohomology.
Abstract: 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.
This abstract is a catalogue record. It is not a verification and not a premise. It does not close O.1. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.
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