Stable rank for inclusions of Banach algebras

2021/09/20 by Masaru Nagisa, Hiroyuki Osaka, Nagisa, Masaru +3
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Operator Algebras (math.OA) #Primary 46L55 #Secondary 46L35

paper · pdf · doi:10.48550/arxiv.2109.09867

openalex publication_date 2021/09/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a formula for the stable rank of inclusions of unital Banach algebras in the sense of finite Watatani index. As an application we show that the stable rank of ℓ¹-algebras of Disk algebras by any action of finite groups is 2.

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