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^*

^*Corresponding author for this work

Donghua University

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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.

Original language	English
Pages (from-to)	139-144
Number of pages	6
Journal	Chinese Annals of Mathematics. Series B
Volume	30
Issue number	2
DOIs	https://doi.org/10.1007/s11401-008-0099-5
State	Published - Mar 2009
Externally published	Yes

Keywords

Band-dominated operator
Coarse geometry
Ideal
Metric space
Roe algebra

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10.1007/s11401-008-0099-5

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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.

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KW - Coarse geometry

KW - Ideal

KW - Metric space

KW - Roe algebra

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ER -

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

Abstract

Keywords

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