Primeness Results for von Neumann Algebras Associated with Surface Braid Groups
Primeness Results for von Neumann Algebras Associated with Surface Braid Groups
In this paper, we introduce a new class of non-amenable groups denoted by |$\textbf {NC}_1 \cap \textbf {Quot}(\mathcal C_{rss})$| which give rise to prime von Neumann algebras. This means that, for every |$\Gamma \in \textbf {NC}_1 \cap \textbf {Quot}(\mathcal {C}_{rss}),$| its group von Neumann algebra |$L(\Gamma )$| cannot be decomposed …