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    Rights statement: This is the author’s version of a work that was accepted for publication in Journal of Algebra. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Journal of Algebra, 450, 2016 DOI: 10.1016/j.jalgebra.2015.11.023

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Convergence and limits of linear representations of finite groups

Research output: Contribution to Journal/Magazine › Journal article › peer-review

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Convergence and limits of linear representations of finite groups. / Elek, Gabor.
In: Journal of Algebra, Vol. 450, 16.03.2016, p. 588-615.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Elek, G 2016, 'Convergence and limits of linear representations of finite groups', Journal of Algebra, vol. 450, pp. 588-615. https://doi.org/10.1016/j.jalgebra.2015.11.023

APA

Elek, G. (2016). Convergence and limits of linear representations of finite groups. Journal of Algebra, 450, 588-615. https://doi.org/10.1016/j.jalgebra.2015.11.023

Vancouver

Elek G. Convergence and limits of linear representations of finite groups. Journal of Algebra. 2016 Mar 16;450:588-615. Epub 2015 Dec 6. doi: 10.1016/j.jalgebra.2015.11.023

Author

Elek, Gabor. / Convergence and limits of linear representations of finite groups. In: Journal of Algebra. 2016 ; Vol. 450. pp. 588-615.

Bibtex

@article{32eb47893f2c400f84a540a22e5b8039,
title = "Convergence and limits of linear representations of finite groups",
abstract = "Motivated by the theory of graph limits, we introduce and study the convergence and limits of linear representations of finite groups over finite fields. The limit objects are infinite dimensional representations of free groups in continuous algebras. We show that under a certain integrality condition, the algebras above are skew fields. Our main result is the extension of Schramm's characterization of hyperfiniteness to linear representations. ",
keywords = "linear representations, amenability , soficity , continuous rings, skew fields",
author = "Gabor Elek",
note = "This is the author{\textquoteright}s version of a work that was accepted for publication in Journal of Algebra. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Journal of Algebra, 450, 2016 DOI: 10.1016/j.jalgebra.2015.11.023 ",
year = "2016",
month = mar,
day = "16",
doi = "10.1016/j.jalgebra.2015.11.023",
language = "English",
volume = "450",
pages = "588--615",
journal = "Journal of Algebra",
issn = "0021-8693",
publisher = "ELSEVIER ACADEMIC PRESS INC",

}

RIS

TY - JOUR

T1 - Convergence and limits of linear representations of finite groups

AU - Elek, Gabor

N1 - This is the author’s version of a work that was accepted for publication in Journal of Algebra. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Journal of Algebra, 450, 2016 DOI: 10.1016/j.jalgebra.2015.11.023

PY - 2016/3/16

Y1 - 2016/3/16

N2 - Motivated by the theory of graph limits, we introduce and study the convergence and limits of linear representations of finite groups over finite fields. The limit objects are infinite dimensional representations of free groups in continuous algebras. We show that under a certain integrality condition, the algebras above are skew fields. Our main result is the extension of Schramm's characterization of hyperfiniteness to linear representations.

AB - Motivated by the theory of graph limits, we introduce and study the convergence and limits of linear representations of finite groups over finite fields. The limit objects are infinite dimensional representations of free groups in continuous algebras. We show that under a certain integrality condition, the algebras above are skew fields. Our main result is the extension of Schramm's characterization of hyperfiniteness to linear representations.

KW - linear representations

KW - amenability

KW - soficity

KW - continuous rings

KW - skew fields

U2 - 10.1016/j.jalgebra.2015.11.023

DO - 10.1016/j.jalgebra.2015.11.023

M3 - Journal article

VL - 450

SP - 588

EP - 615

JO - Journal of Algebra

JF - Journal of Algebra

SN - 0021-8693

ER -