By generalizing Ledrappier's criterion for the $K$-property of equilibrium states, we extend the criterion to subadditive potentials. We apply this result to the singular value potentials of matrix cocycles, and show that equilibrium states of large classes of singular value potentials have the $K$-property.

中文翻译：

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次可加平衡态的 K 性质

通过将 Ledrappier 的标准用于平衡状态的 $K$ 属性，我们将标准扩展到次可加势。我们将此结果应用于矩阵共环的奇异值势，并表明大类奇异值势的平衡状态具有 $K$-性质。