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arXiv · 2311.00091

The derivation problem for one type of bimodules over group algebras

Andronick Arutyunov·Alexey Naianzin
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Abstract

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.

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Andronick Arutyunov, Alexey Naianzin. 2023-10-31. The derivation problem for one type of bimodules over group algebras. https://arxiv.org/abs/2311.00091

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