The Kirchberg–Rørdam character criterion and infinite tensor-power Jiang–Su stability
What the paper claims, in its own words
A nonzero unital separable complex C∗-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 plain-language explainer for this entry is still coming.
The original paper
- The Kirchberg–Rørdam character criterion (PDF, opens in a new tab) September 25, 2026 Formal proof listed