A numerical invariant for finitely generated groups via actions on graphs.

DOI10.7146/math.scand.a-12442zbMath0812.20020OpenAlexW2529991699MaRDI QIDQ4274124

William L. Paschke

Publication date: 9 May 1995

Published in: MATHEMATICA SCANDINAVICA (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/167243

zbMATH Keywords

finitely generated groupsdirected graphvon Neumann algebrasharmonic functionsvon Neumann dimensionBetti numberregular representationsubgroup of finite indexamalgamated products of finite groupssquare-summable functions

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) General theory of von Neumann algebras (46L10) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15) Groups acting on trees (20E08) Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions (43A60)

Related Items (2)

An invariant for finitely presented \(\mathbb{C} G\)-modules ⋮ 𝐿²-homology over traced *-algebras

This page was built for publication: A numerical invariant for finitely generated groups via actions on graphs.