6 papers · 1 filter
Nuclear dimension of extensions of -stable algebras
Samuel Evington
We obtain an improved upper bound for the nuclear dimension of extensions of -stable -algebras. In particular, we prove that the nuclear dimension of…
Stabilising uniform property Gamma
Jorge Castillejos, Samuel Evington
We introduce stabilised property Gamma, a C*-algebraic variant of property Gamma which is invariant under stable isomorphism. We then show that simple separable nuclear C*-algebras…
The Cuntz-Toeplitz algebras have nuclear dimension one
Philip Easo, Esperanza Garijo, Sarunas Kaubrys +12
We prove that unital extensions of Kirchberg algebras by separable stable AF algebras have nuclear dimension one. The title follows.
Uniform property Gamma
Jorge Castillejos, Samuel Evington, Aaron Tikuisis +1
We further examine the concept of uniform property Gamma for C*-algebras introduced in our joint work with Winter. In addition to obtaining characterisations in the spirit of Dixmi…
Nuclear dimension of simple stably projectionless C*-algebras
Jorge Castillejos, Samuel Evington
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-s…
Nuclear dimension of simple C*-algebras
Jorge Castillejos, Samuel Evington, Aaron Tikuisis +2
We compute the nuclear dimension of separable, simple, unital, nuclear, Z-stable C*-algebras. This makes classification accessible from Z-stability and in particular brings large c…