状态空间上的熵和诱导动力学
Entropy and induced dynamics on state spaces
摘要：
研究了由C* 代数自同构诱导的状态空间和拟状态空间同胚的拓扑熵。我们的主要结果是，对于可分正合C* 代数的自同构，零Voiculescu-Brown熵意味着在拟状态空间上（更一般地说，在对偶的整个单位球上）的拓扑熵为零.作为应用，我们得到了拓扑Pinsker代数的局部Voiculescu-Brown熵的简单描述。
英文摘要：
We consider the topological entropy of state space and quasi-state space homeomorphisms induced from C*-algebra automorphisms. Our main result asserts that, for automorphisms of separable exact C*-algebras, zero Voiculescu-Brown entropy implies zero topological entropy on the quasi-state space (and also more generally on the entire unit ball of the dual). As an application we obtain a simple description of the topological Pinsker algebra in terms of local Voiculescu-Brown entropy.
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