{"id":"openai-math/Cuntz-comparison-and-Jiang-Su-absorption","pdf":"https://github.com/openai/math/blob/main/preprints/Cuntz-comparison-and-Jiang-Su-absorption-September-23-2026/paper.pdf","url":"https://github.com/openai/math/tree/main/preprints/Cuntz-comparison-and-Jiang-Su-absorption-September-23-2026","tags":["operator-algebras","c-star-algebras","classification"],"score":0,"title":"Cuntz comparison and Jiang–Su absorption","domain":"Operator algebras","family":"291","origin":"ai-generated","source":"openai-math","authors":["OpenAI"],"reviews":0,"subject":"math.OA","summary":"We prove that strict comparison in the extended-functional sense implies Jiang–Su absorption for separable simple nuclear non-elementary C ∗ -algebras. This resolves the corresponding implication of the Toms–Winter regularity problem, including nonunital algebras and allowing unbounded traces. More generally, every separable nuclear C ∗ -algebra whose Cuntz semigroup is almost unperforated and fully almost divisible absorbs the Jiang–Su algebra.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":0,"published":"2026-09-23","reactions":{},"formalized":false,"family_title":"Cuntz comparison, nuclear dimension, and equivariant Jiang–Su stability"}