拓扑图$C^*$ -代数的移位熵
Entropy of shifts on topological graph $C^*$-algebras
摘要：
给出了与拓扑图$E=(E^0,E^1,s,r)$相关的$C^*$ -代数上的两个正则非交换移位的熵估计，这些拓扑图是用相应的Hilbert双模$H(E)$的基定义的.我们比较它们的熵与增长熵直接相关的拓扑图。我们举例说明与一些拓扑图的例子，认为由Katalina，其中的顶点和边空间是一个联盟的单位圆和更详细的计算可以做。
英文摘要：
We give entropy estimates for two canonical non commutative shifts on $C^*$-algebras associated to some topological graphs $E=(E^0,E^1,s,r)$, defined using a basis of the corresponding Hilbert bimodule $H(E)$. We compare their entropies with the growth entropies associated directly to the topological graph. We illustrate with some examples of topological graphs considered by Katsura, where the vertex and the edge spaces are a union of unit circles and more detailed computations can be done.
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