Nuclear dimension of simple stably projectionless C*-algebras
Evington, S, Castillejos, J
2020Oxford University Research Archive (ORA) (University of Oxford)42 citations
Abstract
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 Zstability for simple, separable, nuclear, non-elementary C∗-algebras.
Topics & Concepts
Simple (philosophy)Separable spaceDimension (graph theory)UnitalEquivalence (formal languages)MathematicsPure mathematicsAlgebra over a fieldMathematical analysisPhilosophyEpistemologyAdvanced Operator Algebra ResearchNoncommutative and Quantum Gravity TheoriesAdvanced Topics in Algebra