On Normal Subgroups of Unitary Groups of Some Unital ${AF}$-Algebras

• Published in: Sarajevo journal of mathematics Vol. 3; no. 2; pp. 233 - 240
• Main Author: Al-Rawashdeh, Ahmed
• Format: Journal Article
• Language: English
• Published: 12.06.2024

In the case of von Neumann factors of types $II_{1}$ and $III$, P. de la Harpe proved that, if $\mathcal{N}$ is a normal subgroup of the unitary group which contains a non-trivial self-adjoint unitary, then $\mathcal{N}$ contains all self-adjoint unitaries of the factor. In this paper, we prove that...