An intermediate quasi-isometric invariant between subexponential asymptotic dimension growth and Yu's property A

Izhar Oppenheim

doi:10.1142/S0218196714500416

An intermediate quasi-isometric invariant between subexponential asymptotic dimension growth and Yu's property A

Izhar Oppenheim

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

1 Scopus citations

Abstract

We present a new quasi-isometric invariant for metric spaces that we name asymptotically large depth. For finitely generated groups we show that this invariant implies Yu's property A and is implied by subexponential asymptotic dimension growth.

Original language	English
Pages (from-to)	909-922
Number of pages	14
Journal	International Journal of Algebra and Computation
Volume	24
Issue number	6
DOIs	https://doi.org/10.1142/S0218196714500416
State	Published - 1 Jan 2014
Externally published	Yes

Keywords

Property A
asymptotic dimension growth

ASJC Scopus subject areas

General Mathematics

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10.1142/S0218196714500416

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title = "An intermediate quasi-isometric invariant between subexponential asymptotic dimension growth and Yu's property A",

abstract = "We present a new quasi-isometric invariant for metric spaces that we name asymptotically large depth. For finitely generated groups we show that this invariant implies Yu's property A and is implied by subexponential asymptotic dimension growth.",

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author = "Izhar Oppenheim",

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AB - We present a new quasi-isometric invariant for metric spaces that we name asymptotically large depth. For finitely generated groups we show that this invariant implies Yu's property A and is implied by subexponential asymptotic dimension growth.

KW - Property A

KW - asymptotic dimension growth

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DO - 10.1142/S0218196714500416

M3 - Article

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JO - International Journal of Algebra and Computation

JF - International Journal of Algebra and Computation

IS - 6

ER -

An intermediate quasi-isometric invariant between subexponential asymptotic dimension growth and Yu's property A

Abstract

Keywords

ASJC Scopus subject areas

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