模曲线、C* 代数和混沌宇宙学
Modular curves, C* algebras, and chaotic cosmology
摘要：
本文对混沌宇宙学的混合主宇宙模型与模曲线几何和非对易几何的关系作了简要的评述。特别是，我们考虑了一类解决方案，有界数量的周期在每个Kasner时代，并描述其动力学性质，我们涉及到的非交换几何的模空间这样的解决方案，由Cuntz-Krieger C*-代数。
英文摘要：
We make some brief remarks on the relation of the mixmaster universe model of chaotic cosmology to the geometry of modular curves and to noncommutative geometry. In particular we consider a class of solutions with bounded number of cycles in each Kasner era and describe their dynamical properties, which we relate to the noncommutative geometry of a moduli space of such solutions, given by a Cuntz-Krieger C*-algebra.
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