论文标题
产品系统熵的应用：高级图
Applications of entropy of product systems: higher-rank graphs
论文作者
论文摘要
我们认为有限高级图的C* - 代数以及它们的旋转作用。我们展示了具有有限帧的产品系统的熵理论如何使用动态的相变。我们计算对称性断裂的正逆温度，尤其是我们确定了仪表不变平衡状态的亚谐波部分。我们的分析适用于通过重新校准熵的正加权旋转作用。
We consider C*-algebras of finite higher-rank graphs along with their rotational action. We show how the entropy theory of product systems with finite frames applies to identify the phase transitions of the dynamics. We compute the positive inverse temperatures where symmetry breaks, and in particular we identify the subharmonic parts of the gauge-invariant equilibrium states. Our analysis applies to positively weighted rotational actions through a recalibration of the entropies.
