6 citations · 11 across the 6 of their papers we have counts for
8 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…
Classifying -homomorphisms I: Unital simple nuclear -algebras
José R. Carrión, James Gabe, Christopher Schafhauser +2
We classify the unital embeddings of a unital separable nuclear -algebra satisfying the universal coefficient theorem into a unital simple separable nuclear -algebra that…
A topology on E-theory
José R. Carrión, Christopher Schafhauser
For separable -algebras and , we define a topology on the set consisting of homotopy classes of asymptotic morphisms from to . This gives an enrichmen…
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…
Decomposable approximations revisited
Nathanial P. Brown, José R. Carrión, Stuart White
Nuclear C*-algebras enjoy a number of approximation properties, most famously the completely positive approximation property. This was recently sharpened to arrange for the incomin…
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…
On groups with quasidiagonal C*-algebras
José Carrión, Marius Dadarlat, Caleb Eckhardt
We examine the question of quasidiagonality for C*-algebras of discrete amenable groups from a variety of angles. We give a quantitative version of Rosenberg's theorem via paradoxi…