Property A and the operator norm localization property for discrete metric spaces

Property A and the operator norm localization property for discrete metric spaces
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DOI:
10.1515/crelle-2012-0065
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发表时间:
2012-03
期刊:
Crelle's Journal
影响因子:
--
通讯作者:
Hiroki Sako
Hiroki Sako
中科院分区:
其他
文献类型:
--
作者:
Hiroki Sako

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我们研究由G定义的性质A。Yu和由X.陈河,巴西-地泰塞拉,X. Wang和G. Yu.这些是度量空间的粗糙几何性质,它们在算子K-理论中有应用。证明了这两个性质在具有有界几何的离散度量空间上是等价的。
We study property A defined by G. Yu and the operator norm localization property defined by X. Chen, R. Tessera, X. Wang, and G. Yu. These are coarse geometric properties for metric spaces which have applications to operator K-theory. It is proved that the two properties are equivalent for discrete metric spaces with bounded geometry.