{"id":"openai-math/Nuclear-dimension-and-Jiang-Su-stability-without-elementary-subquotients","pdf":"https://github.com/openai/math/blob/main/preprints/Nuclear-dimension-and-Jiang-Su-stability-without-elementary-subquotients-September-23-2026/paper.pdf","url":"https://github.com/openai/math/tree/main/preprints/Nuclear-dimension-and-Jiang-Su-stability-without-elementary-subquotients-September-23-2026","tags":["operator-algebras","c-star-algebras","nuclear-dimension"],"score":0,"title":"Nuclear dimension and Jiang–Su stability without elementary subquotients","domain":"Operator algebras","family":"291","origin":"ai-generated","source":"openai-math","authors":["OpenAI"],"reviews":0,"subject":"math.OA","summary":"For separable nuclear C ∗ -algebras with no nonzero elementary ideal subquotients, finite nuclear dimension is equivalent to Jiang–Su stability. More generally, $`\\dim_{\\mathrm{nuc}}(A_0\\otimes\\mathcal Z)\\le1`$ for every separable nuclear A 0 . This proves Robert and Tikuisis's Conjecture (C1) and the nuclear-dimension equivalence in the nonsimple Toms–Winter regularity question.","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"}