PDF(532 KB)
PDF(532 KB)
PDF(532 KB)
一类Smale空间上的C*-代数自同构的熵
The Entropies of the Canonical Automorphisms of C*-algebras from Some Smale Spaces
Ian Putnam利用Smale空间上的渐近等价关系定义了广群C*-代数及其典则自同构.本文在零维Smale空间的情形下，计算此类C*-自同构的逼近熵，证明了相应C*-动力系统关于CNT熵和逼近熵的“变分原理”成立.由此推演出此类Smale空间上的Bowen测度诱导的C*-代数上的态是此典则自同构的唯一平衡态.
We show that Voiculescu's topological entropy of the canonical automorphism of the C*-algebra arising from the asymptotic equivalence on every irreducible zero-dimensional Smale space is equal to the topological entropy of the original topological dynamics.For the related C*-dynamical system, we have the "variational principle" with respect to the CNT-entropy and the topological entropy, and also show that the state defined by the Bowen measure of the Smale space is the unique equilibrium state of the canonical automorphism.
拓扑熵 / 广群C*-代数 / 有限类子平移 / 变分原理 {{custom_keyword}} /
topological entropy / groupoid C*-algebra / subshift of finite type / variational principle {{custom_keyword}} /
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国家自然科学基金资助项目（11271224，11371290，11371222）
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