English

The derivation problem for one type of bimodules over group algebras

Functional Analysis 2023-11-02 v1 Operator Algebras Rings and Algebras

Abstract

The derivation problem is a familiar one concerning group algebras, particularly L1(G)L_1(G) and von Neumann algebras. In this paper, we study the Banach bimodule p(G)\ell_p(G), which is generated by the p\ell_p norm over a specific class of groups with well-organized conjugacy classes. For this case, we will demonstrate that all p(G)\ell_p(G) derivations are inner.

Keywords

Cite

@article{arxiv.2311.00091,
  title  = {The derivation problem for one type of bimodules over group algebras},
  author = {Andronick Arutyunov and Alexey Naianzin},
  journal= {arXiv preprint arXiv:2311.00091},
  year   = {2023}
}