Unital extensions of AF-algebras by purely infinite simple algebras

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• 作者：Junping Liu (1)
  Changguo Wei (2)
  
  1. Department of Mathematics ; East China Normal University ; No. 500 ; Dongchuan Road ; Shanghai ; 200041 ; China
  2. School of Mathematical Sciences ; Ocean University of China ; 238 Songling Road ; Qingdao ; Shandong ; 266100 ; China
  
• 关键词：AF ; algebra ; extension ; purely infinite simple algebra ; 46L05 ; 46L35
• 刊名：Czechoslovak Mathematical Journal
• 出版年：2014
• 出版时间：December 2014
• 年：2014
• 卷：64
• 期：4
• 页码：989-1001
• 全文大小：174 KB
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• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Mathematics
  Analysis
  Convex and Discrete Geometry
  Ordinary Differential Equations
  Mathematical Modeling and IndustrialMathematics
  
• 出版者：Springer Netherlands
• ISSN：1572-9141

文摘

In this paper, we consider the classification of unital extensions of AF-algebras by their six-term exact sequences in K-theory. Using the classification theory of C*-algebras and the universal coefficient theorem for unital extensions, we give a complete characterization of isomorphisms between unital extensions of AF-algebras by stable Cuntz algebras. Moreover, we also prove a classification theorem for certain unital extensions of AF-algebras by stable purely infinite simple C*-algebras with nontrivial K 1-groups up to isomorphism.