Separably injective C*-algebras

2016/04/01 by Cho-Ho Chu, Lei Li, Chu, Cho-Ho +1
Mathematics · #Advanced Banach Space Theory #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Functional Analysis (math.FA)

paper · pdf · doi:10.48550/arxiv.1604.00432

openalex publication_date 2016/04/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that a C*-algebra is a 1-separably injective Banach space if, and only if, it is linearly isometric to the Banach space C₀(Ω) of complex continuous functions vanishing at infinity on a substonean locally compact Hausdorff space Ω.

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