3 papers
math.OA2025
Homotopy lifting, asymptotic homomorphisms, and traces
Tatiana Shulman
The following homotopy lifting theorem is proved: Let be homotopic -homomorphisms and suppose lifts to a (discrete) asymptotic homomorphism. Then li…
math.OA2025
Sections and cones
Tatiana Shulman
By Bartle-Graves theorem every surjective map between C*-algebras has a continuous section, and Loring proved that that there exists a continuous section of norm arbitrary close to…
math.OA2024
On the (Local) Lifting Property
Dominic Enders, Tatiana Shulman
The (Local) Lifting Property ((L)LP) is introduced by Kirchberg and deals with lifting completely positive maps. We give a characterization of the (L)LP in terms of lifting -…