Remarks on ghost projections and ideals in the Roe algebras of expander sequences

Qin Wang

doi:10.1007/s00013-007-2260-x

Remarks on ghost projections and ideals in the Roe algebras of expander sequences

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

9 引用（Scopus）

摘要

We use repeating sequences of expander graphs or small perturbations of expanders to present examples of ideals in the Roe algebras of bounded geometry discrete metric spaces which cannot be expressed as the sum of a ghost ideal and an ideal in which finite propagation operators are dense. This gives a negative answer to a question in [1, 3].

源语言	英语
页（从-至）	459-465
页数	7
期刊	Archiv der Mathematik
卷	89
期	5
DOI	https://doi.org/10.1007/s00013-007-2260-x
出版状态	已出版 - 11月 2007
已对外发布	是

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AB - We use repeating sequences of expander graphs or small perturbations of expanders to present examples of ideals in the Roe algebras of bounded geometry discrete metric spaces which cannot be expressed as the sum of a ghost ideal and an ideal in which finite propagation operators are dense. This gives a negative answer to a question in [1, 3].

KW - Coarse geometry

KW - Expander graph

KW - Ghost projection

KW - Ideal structure

KW - Roe algebra

UR - https://www.scopus.com/pages/publications/38649093338

U2 - 10.1007/s00013-007-2260-x

DO - 10.1007/s00013-007-2260-x

M3 - 文章

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Remarks on ghost projections and ideals in the Roe algebras of expander sequences

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