On invariant subalgebras when the ISR property fails

Yongle Jiang, Ruoyu Liu

We classify all $G$-invariant von Neumann subalgebras in $L(G)$ for $G={\mathbb{Z}}^2⋊S{L}_2(\mathbb{Z})$. This is the first result on classifying $G$-invariant von Neumann suba…