The derivation problem for one type of bimodules over group algebras

2023/10/31 by Andronick Arutyunov, Arutyunov, Andronick, Naianzin, Alexey
Mathematics · #05E16 #13N05 #47B47 #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA) #Rings and Algebras (math.RA) #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.2311.00091

openalex publication_date 2023/10/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The derivation problem is a familiar one concerning group algebras, particularly L₁(G) and von Neumann algebras. In this paper, we study the Banach bimodule ℓ_p(G), which is generated by the ℓ_p norm over a specific class of groups with well-organized conjugacy classes. For this case, we will demonstrate that all ℓ_p(G) derivations are inner.

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