Nuclear dimension and $$\mathcal Z$$Z-stability

By Yasuhiko Sato, Stuart White, W. Winter. 2014

59 citations recorded by the source corpus.

Simple, separable, unital, monotracial and nuclear $$\mathrm {C}^{*}$$C∗-algebras are shown to have finite nuclear dimension whenever they absorb the Jiang–Su algebra $$\mathcal {Z}$$Z tensorially. This completes the proof of the Toms–Winter conjecture in the unique trace case.

Subfields: Algebra and Number Theory, Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/2cf16140554601097f142ae1bc4eaaf25d4f388d

Citations in the corpus

• Tensor products and regularity properties of Cuntz semigroups (2014, unknown): “[88] Sato, Yasuhiko; White, Stuart; Winter, Wilhelm, Nuclear dimension and \(\mathcal{Z} \)-stability, Invent.”
• UCT-Kirchberg algebras have nuclear dimension one (2014, unknown): “It has been shown [21, 23, 24] to be closely related to Z-stability and hence to the classification program for simple nuclear C-algebras.”