Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: Family 291. Toms–Winter and equivariant Jiang–Su stability
Family claims › Operator algebras · lines 1915–1920
OpenAI@2026-10-07#rem:oai-291
Proves equivariant Jiang–Su stability for every countable discrete amenable group action on a simple separable unital infinite-dimensional nuclear stably finite Jiang–Su-stable -algebra, resolving this case of Szabó's conjecture without restrictions on trace dynamics. The family also proves the unital Toms–Winter conjecture, equating strict comparison, finite nuclear dimension and Jiang–Su stability in the simple separable unital infinite-dimensional nuclear setting.
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
- remark: Remark: Family 285. Counterexamples to Baum–Connes and Kadison–Kaplansky
- remark: Remark: Family 286. Arithmetic rigidity of lattice von Neumann algebras
- remark: Remark: Family 287. All nonabelian free group factors are isomorphic
- 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 292. A counterexample to Kirchberg's norm-ultrapower embedding problem
- remark: Remark: Family 293. A counterexample to the hyperinvariant-subspace problem