On C^*-algebras with Local Lifting Property and Weak Expectation Property

2025/07/08 by Gilles Pisier, Pisier, Gilles
Mathematics · #Advanced Banach Space Theory #Advanced Operator Algebra Research #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Operator Algebras (math.OA)

paper · pdf · doi:10.48550/arxiv.2507.06105

openalex publication_date 2025/07/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a new, somewhat simpler, presentation of the author's recent construction of a non-nuclear C^*-algebra which has both the local lifting property (LLP) and the weak expectation property (WEP).

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

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• Universal C^*-algebras with the Local Lifting Property
• Nuclearity-related properties for nonselfadjoint algebras
• A note on C^*-algebras with Lifting Property
• Exactness and LLP Results via Operator System Methods