Algebras of linear growth, the Kurosh-Levitzky problem and large independent sets

DOI10.1006/eujc.2001.0564zbMath1007.46047OpenAlexW1987234659MaRDI QIDQ1612763

A. Y. Samet-Vaillant

Publication date: 14 March 2003

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/eujc.2001.0564

zbMATH Keywords

growth functionfinitely generated algebraends of a groupalgebra of linear growthinfinite discrete groups, algebras and manifolds

Mathematics Subject Classification ID

Rings arising from noncommutative algebraic geometry (16S38) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) General theory of (C^*)-algebras (46L05)

Related Items (2)

Asymptotic invariants of finitely generated algebras. A generalization of Gromov's quasi-isometric viewpoint. ⋮ Free \(^*\)-subalgebras of C\(^*\)-algebras

Cites Work

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• On \(C^*\)-algebras having linear, polynomial and subexponential growth
• Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
• Affine PI-algebras not embeddable in matrix rings
• \(C^*\)-algebras, Gelfand-Kirillov dimension, and Følner sets
• Free \(^*\)-subalgebras of C\(^*\)-algebras
• Finite-dimensional representations of PI algebras
• Affine algebras of Gelfand-Kirillov dimension one are PI

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