Nuclear dimension of simple stably projectionless C∗-algebras
By Jorge Castillejos, Samuel Evington. Analysis & PDE, 2019
61 citations recorded by the source corpus.
We prove that Z-stable, simple, separable, nuclear, non-unital C*-algebras have nuclear dimension at most 1. This completes the equivalence between finite nuclear dimension and Z-stability for simple, separable, nuclear, non-elementary C*-algebras.
Subfields: Applied Mathematics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/978cc2f2528c4383858507b55e86d64e9e4bbf38
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In Applied Mathematics
- Samuel Evington
- Jorge Castillejos
- Stuart White
- Aaron Tikuisis
- W. Winter
- G'abor Szab'o
- Andrew S. Toms
- Ilan Hirshberg
In Mathematical Physics
- Samuel Evington
- Jorge Castillejos
- Stuart White
- Aaron Tikuisis
- W. Winter
- G'abor Szab'o
- David Kerr
- Z. Niu
Citations in the corpus
- Nuclear dimension of simple $$\mathrm {C}^*$$-algebras (2019, methodology): “oU in Theorem I without assuming Ato be unital. In the main results of our paper, unitality enters through Theorem H, as the methods from [3] are only available in the presence of a unit. However, in [7] the first two authors develop the necessary machinery to extend Theorem H, and hence the main res”