3 problems

For every locally compact second-countable group $G$, every invariant random subgroup $\nu$ of $G$ is co-sofic; equivalently, $\nu$ is a weak- limit of invariant random subgroups o…

Let $\Gamma$ be a discrete group, let $L(\Gamma)$ be its group von Neumann algebra, and let $\tau$ be the standard trace on $L(\Gamma)$. For $A\in M_n(\mathbb{Z}[\Gamma])$, write ……

Let $(M,\tau)$ be a tracial von Neumann algebra, and let $A$ be a weak$^{*}$-dense, finitely presented, algebraically sofic, unital $*$-subalgebra of $M$. Write…