Ideals in the Roe algebras of discrete metric spaces with coefficients in B (H)

Yingjie Hu; Qin Wang

doi:10.1007/s11401-008-0099-5

Ideals in the Roe algebras of discrete metric spaces with coefficients in B (H)

Yingjie Hu
, Qin Wang^*

^*此作品的通讯作者

Donghua University

科研成果: 期刊稿件 › 文章 › 同行评审

1 引用（Scopus）

摘要

The notion of an ideal family of weighted subspaces of a discrete metric space X with bounded geometry is introduced. It is shown that, if X has Yu's property A, the ideal structure of the Roe algebra of X with coefficients in B (H) is completely characterized by the ideal families of weighted subspaces of X, where B (H) denotes the C*-algebra of bounded linear operators on a separable Hilbert space H.

源语言	英语
页（从-至）	139-144
页数	6
期刊	Chinese Annals of Mathematics. Series B
卷	30
期	2
DOI	https://doi.org/10.1007/s11401-008-0099-5
出版状态	已出版 - 3月 2009
已对外发布	是

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abstract = "The notion of an ideal family of weighted subspaces of a discrete metric space X with bounded geometry is introduced. It is shown that, if X has Yu's property A, the ideal structure of the Roe algebra of X with coefficients in B (H) is completely characterized by the ideal families of weighted subspaces of X, where B (H) denotes the C*-algebra of bounded linear operators on a separable Hilbert space H.",

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AB - The notion of an ideal family of weighted subspaces of a discrete metric space X with bounded geometry is introduced. It is shown that, if X has Yu's property A, the ideal structure of the Roe algebra of X with coefficients in B (H) is completely characterized by the ideal families of weighted subspaces of X, where B (H) denotes the C*-algebra of bounded linear operators on a separable Hilbert space H.

KW - Band-dominated operator

KW - Coarse geometry

KW - Ideal

KW - Metric space

KW - Roe algebra

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Ideals in the Roe algebras of discrete metric spaces with coefficients in B (H)

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