Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 296-01. Relative generation and the generator problem for finite factors
Manuscript map · lines 8305–8314
OpenAI@2026-10-07#rem:oai-p-296-01
Authors: OpenAI. Family 296.
Title: Relative generation and the generator problem for finite factors.
Abstract: We prove that every type II1 factor with separable predual is generated by one operator, equivalently by two self-adjoint operators. Combined with the established direct-integral reduction to this case, this gives an affirmative solution of the generator problem for von Neumann algebras with separable predual.
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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