Classification of Cuntz-Krieger algebras up to stable isomorphism
Classification of Cuntz-Krieger algebras up to stable isomorphism
复制标题
Cuntz-Krieger 代数的分类直至稳定同构
DOI：
10.1515/crelle.2006.074
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发表时间：
2006
期刊：
影响因子：
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通讯作者：
Gunnar Restorff
中科院分区：
文献类型：
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作者：
Gunnar Restorff
摘要本文对邻接矩阵满足Cuntz条件（II）的所有Cuntz- krieger代数进行了分类。该不变量是由k理论中的理想格和六项精确序列自然产生的，而该不变量的完备性的证明依赖于Mike Boyle和Danrun Huang最近关于有限型位移的流动等价的结果。□
Abstract In this paper we classify all Cuntz-Krieger algebras whose adjacency matrices satisfy condition (II) of Cuntz. The invariant arises naturally from the ideal lattice and the six-term exact sequences from K-theory, while the proof of this invariant being complete depends on recent results on flow equivalence of shifts of finite type by Mike Boyle and Danrun Huang. □