We say that two free p.m.p. actions of countable groups are Shannon orbit equivalent if there is an orbit equivalence between them whose associated cocycle partitions have finite Shannon entropy. We show that if the acting groups are sofic and each has a w-normal amenable subgroup which is neither locally finite nor virtually cyclic then Shannon orbit equivalence implies that the actions have the same maximum sofic entropy. This extends a result of Austin beyond the finitely generated amenable setting and has the consequence that two Bernoulli actions of a group with the properties in question are Shannon orbit equivalent if and only if they are measure conjugate. Our arguments apply more generally to actions satisfying a sparse connectivity condition which we call property SC, and yield an entropy inequality under the assumption that one of the actions has this property.

我们说，如果可数组的两个自由pmp动作之间存在轨道等价关系，且相关联的cocycle分区具有有限的Shannon熵，那么它们是香农轨道等效项。我们表明，如果作用群是苏菲奇的，并且每个都有一个w-法线顺应性子群，它既不是局部有限的，也不是实质上循环的，那么香农轨道等价意味着这些行动具有相同的最大索菲奇熵。这将奥斯丁的结果扩展到有限生成的可适应环境之外，并且具有以下结果：当且仅当它们是度量共轭的时，具有相关性质的组的两个伯努利动作才是香农轨道等效项。我们的论点更普遍地适用于满足稀疏连通性条件的行为，我们称之为属性SC，