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^*

^*Corresponding author for this work

Donghua University

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

9 Scopus citations

Abstract

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].

Original language	English
Pages (from-to)	459-465
Number of pages	7
Journal	Archiv der Mathematik
Volume	89
Issue number	5
DOIs	https://doi.org/10.1007/s00013-007-2260-x
State	Published - Nov 2007
Externally published	Yes

Keywords

Coarse geometry
Expander graph
Ghost projection
Ideal structure
Roe algebra

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10.1007/s00013-007-2260-x

Cite this

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title = "Remarks on ghost projections and ideals in the Roe algebras of expander sequences",

abstract = "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].",

keywords = "Coarse geometry, Expander graph, Ghost projection, Ideal structure, Roe algebra",

author = "Qin Wang",

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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

AN - SCOPUS:38649093338

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JO - Archiv der Mathematik

JF - Archiv der Mathematik

IS - 5

ER -

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

Abstract

Keywords

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