5 papers
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…
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…
C*-algebras and their nuclear dimension
Jorge Castillejos
We review the notion of nuclear dimension for C*-algebras introduced by Winter and Zacharias. We explain why it is a non-commutative version of topological dimension. After present…