2 papers
math.OA2025
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…
math.OA2024
Tracially Complete C*-Algebras
José R. Carrión, José R. Carrión, Jorge Castillejos +5
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…