Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: Family 299. The Kirchberg–R rdam character criterion
Family claims › Operator algebras · lines 1963–1968
OpenAI@2026-10-07#rem:oai-299
A nonzero unital separable complex -algebra is Jiang–Su stable exactly when its norm central-sequence algebra has no characters, for every free ultrafilter. This answers the Kirchberg–Rørdam character question. Also, the infinite minimal tensor power of every such algebra without characters is Jiang–Su stable, answering the Dadarlat–Toms question.
The authors are OpenAI. This companion does not verify the proof. The claim is not a theorem of the Enter series and not a premise of any registered sheet. It does not close O.1. O.1 stays NOT_CLOSED. It is not a de Sitter state and not the QdS external-leg scheme. No quantum coefficient is admitted. No compilation is asserted.
Nearby in this section
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- remark: Remark: Family 286. Arithmetic rigidity of lattice von Neumann algebras
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- remark: Remark: Family 288. Kadison's similarity conjecture
- remark: Remark: Family 289. The strong Kadison–Kastler conjecture
- remark: Remark: Family 290. Connes' bicentralizer conjecture and relative bicentralizers
- remark: Remark: Family 291. Toms–Winter and equivariant Jiang–Su stability
- remark: Remark: Family 292. A counterexample to Kirchberg's norm-ultrapower embedding problem