Strong Morita equivalence of higher-dimensional noncommutative tori. II
Strong Morita equivalence of higher-dimensional noncommutative tori. II
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DOI：
10.1515/crll.2004.087
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发表时间：
2003-03
影响因子：
1.4
通讯作者：
G. Elliott;Hanfeng Li
中科院分区：
文献类型：
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作者：
G. Elliott;Hanfeng Li
我们证明了两个C*-代数非交换环面是强Morita等价的当且仅当它们有同构的序K 0-群和中心，推广了N。C.在代数是单的情况下推广了菲利普斯的结果。这也被推广到了任意n-生成阿贝尔群的扭群C*-代数。
We show that two C*-algebraic noncommutative tori are strongly Morita equivalent if and only if they have isomorphic ordered K0-groups and centers, extending N. C. Phillips’s result in the case that the algebras are simple. This is also generalized to the twisted group C*-algebras of arbitrary finitely generated abelian groups.