Variations of projectivity for C*-algebras

Abstract

We consider various lifting problems for C*-algebras. As an application of our results we show that any commuting family of order zero maps from matrices to a von Neumann central sequence algebra can be lifted to a commuting family of order zero maps to the C*-central sequence algebra.

Thanks to grant H2020-MSCA-RISE-2015-691246-Quantum Dynamics" and Polish Government grant 3542/H2020/2016/2 are added

References in corpus (4)

• Completely positive maps of order zero
• Almost commuting permutations are near commuting permutations
• Discrete amenable group actions on von Neumann algebras and invariant nuclear C*-subalgebras
• Which compacta are noncommutative ARs?