Jorge Castillejos

activity

20182025

collaborators

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8 papers · 1 filter

math.OA2025

A homotopy rigidity theorem for $Z_{0}$ -stable $C^{*}$ -algebras

Jorge Castillejos, Baukje Debets, Gabor Szabo

We show that two simple, separable, nuclear and $Z_{0}$ -stable $C^{*}$ -algebras are isomorphic if they are trace-preservingly homotopy equivalent. This result doe…

math.OA2023

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…

math.OA2023

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…

math.OA2020

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…

math.OA2019

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…