| 杨新兵,方小春.Cantor极小动力系统生成交叉积C~*-代数的K_0群[J].数学年刊A辑,2010,31(1):119~128 |
| Cantor极小动力系统生成交叉积C~*-代数的K_0群 |
| K_0-Groups of Crossed Product C~*-Algebras Arising from Cantor Minimal Dynamical Systems |
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| DOI： |
| 中文关键词: Cantor极小系统 交叉积 拓扑全群 |
| 英文关键词:Cantor minimal dynamical system Crossed product Topological full group |
| 基金项目:国家自然科学基金(No.10771161)资助的项目 |
| Author Name | Affiliation | E-mail | | YANG Xinbing | Department of Mathematics, Zhejiang Normal University,Jinhua 321004, Zhejiang, China
Department of Mathematics, Tongji University, Shanghai 200092, China. | yangxinbing@zjnu.cn | | FANG Xiaochun | Department of Mathematics, Tongji University, Shanghai 200092,China. | xfang@mail.tongji.edu.cn |
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| 中文摘要: |
| 设(X,α)为一个Cantor极小系统,C(X)×_αZ为相应的交叉积C~*-代数,U,V为X内的两个clopen集.证明了如果[j_α(1U)_0=[jα(1_v)]_0∈K_0(C(X)×_αZ),则存在α的一个拓扑全群元素σ,使得σ(U)=V. |
| 英文摘要: |
| Let (X,α) be a Cantor minimal dynamical system,C(X) ×_αZ be the crossed product C~*-algebra arising from the Cantor minimal dynamical system and let U,V be two clopen subsets of X.This note shows that if[j_α(1u)]_0 =[j_α(1v)]_0 ∈ K_0(C(X) ×_α Z),then there exists a homeomorphism σ which belongs to the topological full group of α such that σ(U) =V. |
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