Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 290-01. Expected amenable subalgebras preserving core commutants
Manuscript map · lines 8195–8204
OpenAI@2026-10-07#rem:oai-p-290-01
Authors: OpenAI. Family 290.
Title: Expected amenable subalgebras preserving core commutants.
Abstract: We prove that every inclusion $N{}subset M$ of von Neumann algebras with separable preduals and a faithful normal conditional expectation contains an expected amenable subalgebra $P{}subset N$ such that $P'{}cap c(M)=N'{}cap c(M)$, where $c(M)$ denotes the continuous core of M. This resolves the relative bicentralizer conjecture in this setting.
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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