Unital extensions of AF-algebras by purely infinite simple algebras

被引：0
作者：
Junping Liu
Changguo Wei
机构：
[1] East China Normal University,Department of Mathematics
[2] Ocean University of China,School of Mathematical Sciences
来源：
Czechoslovak Mathematical Journal | 2014年 / 64卷
关键词：
-algebra; extension; purely infinite simple algebra; 46L05; 46L35;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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 K1-groups up to isomorphism.
引用
收藏
页码：989 / 1001
页数：12
相关论文
共 28 条
  • [1] Eilers S.(2014)The ordered Can. J. Math. 66 596-625
  • [2] Restorff G.(2009)-theory of a full extension Adv. Math. 222 2153-2172
  • [3] Ruiz E.(1996)Classification of extensions of classifiable II. Ann. Math. (2) 144 497-610
  • [4] Eilers S.(2007)*-algebras Invent. Math. 168 249-320
  • [5] Restorff G.(2001)On the classification of Pac. J. Math. 198 385-409
  • [6] Ruiz E.(2002)*-algebras of real rank zero Doc. Math., J. DMV (electronic) 7 255-461
  • [7] Elliott G. A.(2006)On the classification of simple inductive limit Houston J. Math. (electronic) 32 531-550
  • [8] Gong G.(2012)*-algebras. II: The isomorphism theorem Proc. Natl. Acad. Sci. USA 109 2842-2847
  • [9] Elliott G. A.(2011)An abstract Voiculescu-Brown-Douglas-Fillmore absorption theorem Invent. Math. 183 385-450
  • [10] Gong G.(2007)On the classification of simple inductive limit Pac. J. Math. 229 389-428
123