Minimal dynamical systems on the product of the Cantor set and the circle II
Minimal dynamical systems on the product of the Cantor set and the circle II
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DOI：
10.1007/s00029-006-0025-1
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发表时间：
2004-12
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影响因子：
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通讯作者：
Huaxin Lin;H. Matui
中科院分区：
文献类型：
--
作者：
Huaxin Lin;H. Matui
设X是Cantor集，φ是上的极小同胚，我们证明了交叉积C*-代数是单A-代数，只要其上的上圈取其旋转值.给定两个极小系统，使得φ和φ由上的等距同胚的上圈产生，当它们具有相同的K-理论信息时，我们证明了两个系统是近似K-共轭的.
LetXbe the Cantor set and φ be a minimal homeomorphism on. We show that the crossed product C*-algebrais a simple A-algebra provided that the associated cocycle takes its values in rotations on. Given two minimal systemsandsuch that φ and ψ arise from cocycles with values in isometric homeomorphisms on, we show that two systems are approximately K-conjugate when they have the sameK-theoretical information.