110 citations · 148 across the 9 of their papers we have counts for
11 papers
A homotopy rigidity theorem for -stable -algebras
Jorge Castillejos, Baukje Debets, Gabor Szabo
We show that two simple, separable, nuclear and -stable -algebras are isomorphic if they are trace-preservingly homotopy equivalent. This result doe…
Tracially Complete C*-Algebras
José R. Carrión, Jorge Castillejos, Samuel Evington +4
We introduce a new class of operator algebras -- tracially complete C*-algebras -- as a vehicle for transferring ideas and results between C*-algebras and their tracial von Neumann…
On topologically zero-dimensional morphisms
Jorge Castillejos, Robert Neagu
We investigate -homomorphisms with nuclear dimension equal to zero. In the framework of classification of -homo-morphisms, we characterise such maps as those that can be ap…
On tracial -stability of simple non-unital C*-algebras
Jorge Castillejos, Kang Li, Gabor Szabo
We investigate the notion of tracial -stability beyond unital C*-algebras, and we prove that this notion is equivalent to -stability in the class of separab…
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…
Classifying maps into uniform tracial sequence algebras
Jorge Castillejos, Samuel Evington, Aaron Tikuisis +1
We classify -homomorphisms from nuclear -algebras into uniform tracial sequence algebras of nuclear -stable -algebras via tracial data.
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…
Decomposable approximations and approximately finite dimensional C*-algebras
Jorge Castillejos
Nuclear -algebras having a system of completely positive approximations formed with convex combinations of a uniformly bounded number of order zero summands are shown to be ap…