Classification of Invariant Subalgebras in a class of factors with property (T)

Yongle Jiang, Hongyi Li

Let $n\ge 2$ and $G_n={\mathbb{Z}}^n⋊S{L}_n(\mathbb{Z})$. We classify all $G_n$-invariant von Neumann subalgebras in $L(G_n)$. For $n=2$, this gives an alternative proof of the…