Maximal Haagerup subalgebras in $L({\mathbb{Z}}^2⋊S{L}_2(\mathbb{Z}))$

Yongle Jiang

We prove that $L(S{L}_2(\text{k}))$ is a maximal Haagerup von Neumann subalgebra in $L({\text{k}}^2⋊S{L}_2(\text{k}))$ for $\text{k}=\mathbb{Q}$. Then we show how to modif…