A note on C^*-algebras with Lifting Property

2025/07/08 by Pisier, Gilles
#FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.2507.06177

Abstract

We give several simple and easy complements to our recent paper on C^*-algebras with the lifting property (LP in short). In particular we observe that the local lifting property (LLP in short) associated to the class of max-contractions implies the lifting property for max-contractions.

Citations

• On the (Local) Lifting Property
• The lifting property for C^*-algebras : from local to global ?
• Operator spaces with the WEP, the OLLP and the Gurarii property

Related

• The lifting property for C^*-algebras : from local to global ?
• Universal C^*-algebras with the Local Lifting Property
• On C^*-algebras with Local Lifting Property and Weak Expectation Property
• On the (Local) Lifting Property
• Exactness and LLP Results via Operator System Methods