Elek, Gábor (2016) Convergence and limits of linear representations of finite groups. Journal of Algebra, 450. pp. 588615. ISSN 00218693
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Official URL: http://dx.doi.org/10.1016/j.jalgebra.2015.11.023
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. © 2015 Elsevier Inc.
Item Type:  Article 

Uncontrolled Keywords:  Soficity; Skew fields; Linear representations; Continuous rings; Amenability 
Subjects:  Q Science / természettudomány > QA Mathematics / matematika Q Science / természettudomány > QA Mathematics / matematika > QA166QA166.245 Graphs theory / gráfelmélet 
SWORD Depositor:  MTMT SWORD 
Depositing User:  MTMT SWORD 
Date Deposited:  03 Jan 2017 13:02 
Last Modified:  03 Jan 2017 13:02 
URI:  http://real.mtak.hu/id/eprint/44238 
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