Grothendieck groups of invariant rings and of group rings

DOI10.1006/jabr.1994.1161zbMath0822.16006OpenAlexW1973951267MaRDI QIDQ1330062

Martin Lorenz, Kenneth A. Brown

Publication date: 17 August 1994

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

Full work available at URL: https://doi.org/10.1006/jabr.1994.1161

zbMATH Keywords

group algebratrace mapNoetherian ringMorita contextskew group ringfixed ringlocalization functorexact sequence of Grothendieck groupsfinite group acting as automorphismsfixed-point-free action

Mathematics Subject Classification ID

Grothendieck groups, (K)-theory, etc. (16E20) Group rings (16S34) Automorphisms and endomorphisms (16W20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Twisted and skew group rings, crossed products (16S35) (K_0) of group rings and orders (19A31)

Related Items

\(K\)-theory of endomorphism rings and of rings of invariants ⋮ Grothendieck groups of invariant rings: Linear actions of finite groups ⋮ Local cohomology associated to the radical of a group action on a Noetherian algebra ⋮ Auslander’s Theorem for permutation actions on noncommutative algebras ⋮ The semicentre of a group algebra ⋮ \(K_0\) of invariant rings and nonabelian \(H\)