Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 299-01. The Kirchberg–Rørdam character criterion
Manuscript map · lines 8335–8344
OpenAI@2026-10-07#rem:oai-p-299-01
Authors: OpenAI. Family 299.
Title: The Kirchberg–Rørdam character criterion.
Abstract: We prove the Kirchberg–Rørdam character criterion: for every free ultrafilter on ℕ, a nonzero unital separable complex C∗-algebra absorbs the Jiang–Su algebra if and only if its norm central-sequence algebra has no characters. We also prove that the infinite minimal tensor power of every nonzero unital separable complex C∗-algebra without characters is ${}mathcal Z$-stable and contains a unital copy of ${}mathcal Z$.
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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