Homogeneity and rigidity of the Brookes-Groves invariant for the non-commutative torus.

DOI10.1016/j.jalgebra.2005.06.001zbMath1192.16024OpenAlexW2054368049MaRDI QIDQ2491821

Simon J. Wadsley

Publication date: 29 May 2006

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2005.06.001

zbMATH Keywords

group algebrascrossed productsfinitely generated modulesGelfand-Kirillov dimensionpolyhedral conesmetabelian groupsBieri-Strebel invariantscoordinate rings of non-commutative tori

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Ordinary and skew polynomial rings and semigroup rings (16S36) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Cohen-Macaulay modules in associative algebras (16G50) Growth rate, Gelfand-Kirillov dimension (16P90) Twisted and skew group rings, crossed products (16S35)

Related Items

MODULES OVER QUANTUM LAURENT POLYNOMIALS ⋮ Polyhedrality of the Brookes-Groves invariant for the non-commutative torus.

Cites Work

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• Infinite Crossed Products and Group-Graded Rings
• A Rigidity Property for the Set of all Characters Induced by Valuations
• Auslander-gorenstein rings
• Valuations and Finitely Presented Metabelian Groups
• Modules Over Nilpotent Group Rings
• Rings of Invariants of Tori, Cohen-Macaulay Rings Generated by Monomials, and Polytopes

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