An invariant for finitely presented \(\mathbb{C} G\)-modules

DOI10.1007/BF01446632zbMath0813.43004OpenAlexW2087441394MaRDI QIDQ1345926

William L. Paschke

Publication date: 21 May 1995

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/165294

zbMATH Keywords

von Neumann dimensioncategory of representations\(\mathbb{C} G\)-module mapsbounded intertwining mapsfinite-rank free \(\mathbb{C} G\)-modulesfinitely presented \(\mathbb{C} G\)-moduleintertwining module maps

Mathematics Subject Classification ID

Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Means on groups, semigroups, etc.; amenable groups (43A07)

Related Items

Graphs of groups and von Neumann dimension. ⋮ 𝐿²-homology over traced *-algebras ⋮ On roughly transitive amenable graphs and harmonic Dirichlet functions

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