Nuclear dimension of simple stably projectionless C∗-algebras
Jorge Castillejos, Samuel Evington
Abstract
We prove that [math] -stable, simple, separable, nuclear, nonunital [math] -algebras have nuclear dimension at most 1. This completes the equivalence between finite nuclear dimension and [math] -stability for simple, separable, nuclear, nonelementary [math] -algebras.
Topics & Concepts
MathematicsDimension (graph theory)Equivalence (formal languages)Simple (philosophy)Mathematical analysisPure mathematicsApplied mathematicsEffective dimensionFinite element methodNuclear dataCalculus (dental)Dimension functionAdvanced Operator Algebra ResearchHolomorphic and Operator TheoryAdvanced Banach Space Theory