On isoperimetric profiles of algebras

JOURNAL OF ALGEBRA

卷:322

Article

D'Adderio, Michele

关键词: Isoperimetric profile;    Gelfand-Kirillov dimension;    Amenability;   

DOI  :  10.1016/j.jalgebra.2008.12.022

来源: Elsevier

【 摘 要 】

Isoperimetric profile in algebras was first introduced by Gromov in [M. Gromov, Entropy and isoperimetry for linear and non-linear group actions, Groups Geom. Dyn. 2 (4) (2008) 499-593]. We study the behavior of the isoperimetric profile under various ring theoretic constructions and its relation with the Gelfand-Kirillov dimension. (C) 2009 Elsevier Inc. All rights reserved.

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