6 citations · 7 across the 5 of their papers we have counts for
6 papers · 1 filter
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…
Nuclear dimension of graph C-algebras with Condition~(K)
Gregory Faurot, Christopher Schafhauser
We prove that for any countable directed graph with Condition~(K), the associated graph -algebra has nuclear dimension at most . Furthermore, we provide a suff…
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…
Finite dimensional approximations of certain amalgamated free products of groups
Christopher Schafhauser
A group is called matricial field (MF) if it admits finite dimensional approximate unitary representations which are approximately faithful and approximately contained in the left…