4 papers
An asymptotic homotopy lifting property
José R. Carrión, Christopher Schafhauser
A -algebra is said to have the homotopy lifting property if for all -algebras and , for every surjective -homomorphism and for ev…
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…
Decomposing nuclear maps
José R. Carrión, Christopher Schafhauser
We show that the strengthened version of the completely positive approximation property of Brown, Carrión, and White---where the downward maps are asymptotically order zero and the…
Almost flat K-theory of classifying spaces
José R. Carrión, Marius Dadarlat
We give a rigorous account and prove continuity properties for the correspondence between almost flat bundles on a triangularizable compact connected space and the quasi-representa…