标题： 群代数上一类双模的导子问题 显示英文标题

标题： The derivation problem for one type of bimodules over group algebras

摘要： 导数问题是一个与群代数，特别是与$L_1(G)$和冯·诺依曼代数相关的熟知问题。 本文研究了由特定一类具有良好组织的共轭类的群上的$\ell_p$范数生成的 Banach 双模$\ell_p(G)$。 对于这种情况，我们将证明所有$\ell_p(G)$导数都是内导数。 显示英文摘要

摘要： The derivation problem is a familiar one concerning group algebras, particularly $L_1(G)$ and von Neumann algebras. In this paper, we study the Banach bimodule $\ell_p(G)$, which is generated by the $\ell_p$ norm over a specific class of groups with well-organized conjugacy classes. For this case, we will demonstrate that all $\ell_p(G)$ derivations are inner.