The type $\mathrm{II}{\mathrm{I}}_1$ factor generated by regular representations of the infinite dimensional nilpotent group $B_0^{\mathbb{Z}}$

Ivan Dynov, Alexandre Kosyak

We study the von Neumann algebra, generated by the regular representations of the infinite-dimensional nilpotent group $B_0^{\mathbb{Z}}$. In [14] a condition have been found on the…