标题： 均匀混合和完全正的索菲熵 显示英文标题

标题： Uniform mixing and completely positive sofic entropy

摘要： 设$G$是一个可数离散的Sofic群。 我们定义了一个保测的$G$-作用的均匀混合概念，并证明它意味着完全正的Sofic熵。 当$G$包含一个无限阶元素时，我们利用这一点来产生一个不可数的两两非同构的$G$-作用族，这些作用具有完全正的Sofic熵。 我们的例子中没有一个是Bernoulli位移的因子。 显示英文摘要

摘要： Let $G$ be a countable discrete sofic group. We define a concept of uniform mixing for measure-preserving $G$-actions and show that it implies completely positive sofic entropy. When $G$ contains an element of infinite order, we use this to produce an uncountable family of pairwise nonisomorphic $G$-actions with completely positive sofic entropy. None of our examples is a factor of a Bernoulli shift.