Variations of projectivity for C∗-algebras

2017/09/30 by Don Hadwin, Tatiana Shulman · 3 citations
Mathematics · #Advanced Banach Space Theory #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebra over a field #Applied mathematics #First order #Linguistics #Mathematics #Order (exchange) #Pure mathematics #Sequence (biology) #Von Neumann algebra #Von Neumann architecture #Zero (linguistics) #Zero order #math.OA #msc:46L05

paper · pdf · doi:10.2140/pjm.2019.301.421

published in Pacific Journal of Mathematics 301(2), 421-440 (Mathematical Sciences Publishers) · Thanks to grant H2020-MSCA-RISE-2015-691246-Quantum Dynamics" and Polish Government grant 3542/H2020/2016/2 are added

arxiv created 2018/04/04 · openalex publication_date 2019/10/24 · arxiv updated 2019/10/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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.

Citations

• Shape theory for C^*-algebras.
• Completely positive maps of order zero
• Discrete amenable group actions on von Neumann algebras and invariant nuclear C*-subalgebras
• Central sequence C*-algebras and tensorial absorption of the Jiang-Su algebra
• Which compacta are noncommutative ARs?
• Projections in Banach Algebras