Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 251-01. Unitarizability implies amenability for discrete groups
Manuscript map · lines 7365–7374
OpenAI@2026-10-07#rem:oai-p-251-01
Authors: OpenAI. Family 251.
Title: Unitarizability implies amenability for discrete groups.
Abstract: We prove that a discrete group is amenable if and only if every uniformly bounded representation on a complex Hilbert space is similar to a unitary representation. This resolves Dixmier's unitarizability problem affirmatively for discrete groups.
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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