Cuntz comparison, nuclear dimension, and equivariant Jiang–Su stability
What the paper claims, in its own words
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 C∗-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 plain-language explainer for this entry is still coming.
The original papers (4)
- Equivariant Jiang–Su Stability for Amenable Actions in the Unital Stably Finite Case (PDF, opens in a new tab) October 5, 2026
- Cuntz comparison and Jiang–Su absorption (PDF, opens in a new tab) September 23, 2026
- Nuclear dimension and Jiang–Su stability without elementary subquotients (PDF, opens in a new tab) September 23, 2026
- Tracial projection methods and uniform property Gamma (PDF, opens in a new tab) September 23, 2026 Formal proof listed