Amenability and Kunze-Stein property for groups acting on a tree

DOI10.2140/pjm.1988.135.371zbMath0671.43003OpenAlexW2010307579MaRDI QIDQ1119863

Claudio Nebbia

Publication date: 1988

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1988.135.371

zbMATH Keywords

groups acting on treeslocally finite treeisometriesamenable groupshomogeneous treeKunze-Stein grouplocally compact group of

Mathematics Subject Classification ID

Trees (05C05) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15) Means on groups, semigroups, etc.; amenable groups (43A07) Infinite automorphism groups (20B27) Analysis on specific locally compact and other abelian groups (43A70)

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Random walks on Baumslag-Solitar groups ⋮ On finite fixed sets in infinite graphs ⋮ Random walks on the affine group of local fields and of homogeneous trees ⋮ COUNTABLE BOREL EQUIVALENCE RELATIONS ⋮ Amenable group actions on infinite graphs ⋮ Convergence to Ends for Random Walks on the Automorphism Group of a Tree ⋮ Ends of graphs ⋮ Amenability, unimodularity, and the spectral radius of random walks on infinite graphs ⋮ Topological groups and infinite graphs ⋮ On the norms of group-invariant transition operators on graphs ⋮ Amenability, Kazhdan's property and percolation for trees, groups and equivalence relations ⋮ Amenable actions preserving a locally finite metric ⋮ Indicability, residual finiteness, and simple subquotients of groups acting on trees ⋮ Amenable Actions and Weak Containment of Certain Representations of Discrete Groups ⋮ Amenable equivalence relations and Turing degrees ⋮ Computing Norms of Group-Invariant Transition Operators ⋮ Classification of all irreducible unitary representations of the stabilizer of the horicycles of a tree ⋮ A note on the amenable subgroups of PSL(2,\({\mathbb{R}})\) ⋮ Random walks on the discrete affine group ⋮ Fixed sets and free subgroups of groups acting on metric spaces

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