KMS态、熵和压力的一个变分原理
KMS States, Entropy and a Variational Principle for Pressure
摘要：
我们想把熵和压力的概念与$C^*$ -代数的KMS态的概念联系起来。在我们的时代，熵有几种不同的定义。我们在这里描述的一个是相当自然的，并扩展了热力学形式主义理论中动力系统的通常一个。它的优点是很容易被引入。它基本上是从转移算子（也称为Ruelle算子）获得的。稍后我们引入压力的概念作为最小-最大原理。最后，我们考虑的概念KMS状态作为一个潜在的平衡态（在$C^*$ -代数的背景下），我们表明，有KMS状态之间的关系，某些代数来自连续变换和平衡测度。
英文摘要：
We want to relate the concepts of entropy and pressure to that of KMS states for $C^*$-Algebras. Several different definitions of entropy are known in our days. The one we describe here is quite natural and extends the usual one for Dynamical Systems in Thermodynamic Formalism Theory. It has the advantage of been very easy to be introduced. It is basically obtained from transfer operators (also called Ruelle operators). Later we introduce the concept of pressure as a min-max principle. Finally, we consider the concept of a KMS state as an equilibrium state for a potential (in the context of $C^*$-Algebras) and we show that there is a relation between KMS states for certain algebras coming from a continuous transformation and equilibrium measures.
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