论文标题
统一的操作员代数组的最大离散子组
Maximal discrete subgroups in unitary groups of operator algebras
论文作者
论文摘要
我们表明，如果G组不含混合认同，则其组的投射统一组von Neumann代数包含一个最大的离散子组，其中包含G。证明是基本的，并利用了自由概率理论。此外，我们阐明了C*-Algebras的情况。
We show that if a group G is mixed-identity-free, then the projective unitary group of its group von Neumann algebra contains a maximal discrete subgroup containing G. The proofs are elementary and make use of free probability theory. In addition, we clarify the situation for C*-algebras.
