Amenable group actions on infinite graphs

DOI10.1007/BF01442875zbMath0648.43002OpenAlexW2077898971MaRDI QIDQ1105141

Wolfgang Woess

Publication date: 1989

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

Full work available at URL: https://eudml.org/doc/164552

zbMATH Keywords

infinite graphgroup of automorphismsautomorphisms of treesamenable group actionamenable automorphism groupsends of a graph

Mathematics Subject Classification ID

Geometric group theory (20F65) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Means on groups, semigroups, etc.; amenable groups (43A07) Infinite automorphism groups (20B27)

Related Items (17)

Boundary and entropy of space homogeneous Markov chains ⋮ On finite fixed sets in infinite graphs ⋮ Ends of graphs ⋮ Ends of graphs. II ⋮ Group actions on metric spaces: fixed points and free subgroups ⋮ Spanning trees in hyperbolic graphs ⋮ Amenability, unimodularity, and the spectral radius of random walks on infinite graphs ⋮ Doubling constants and spectral theory on graphs ⋮ Scale functions and tree ends ⋮ Topological groups and infinite graphs ⋮ Amenability, Kazhdan's property and percolation for trees, groups and equivalence relations ⋮ Amenable actions preserving a locally finite metric ⋮ A note on the Poisson boundary of lamplighter random walks ⋮ Finite invariant sets in infinite graphs ⋮ Boundaries of random walks on graphs and groups with infinitely many ends ⋮ Self-embeddings of trees ⋮ Fixed sets and free subgroups of groups acting on metric spaces

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