Geometric amenability in totally disconnected locally compact groups

DOI10.1007/s00209-023-03264-zOpenAlexW4361268333MaRDI QIDQ2697548

Romain Tessera, Matthew C. H. Tointon

Publication date: 12 April 2023

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

Full work available at URL: https://arxiv.org/abs/2210.02867

zbMATH Keywords

amenable groupgraph automorphismtotally disconnected locally compact groupunimodular locally compact group

Mathematics Subject Classification ID

Geometric group theory (20F65) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Asymptotic properties of groups (20F69) General properties and structure of locally compact groups (22D05) Means on groups, semigroups, etc.; amenable groups (43A07) Infinite graphs (05C63)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Metric geometry of locally compact groups
• Transition operators on co-compact \(G\)-spaces
• Amenability, unimodularity, and the spectral radius of random walks on infinite graphs
• Large scale Sobolev inequalities on metric measure spaces and applications
• Topological groups and infinite graphs
• On the norms of group-invariant transition operators on graphs
• Group-invariant percolation on graphs
• A finitary structure theorem for vertex-transitive graphs of polynomial growth
• Specker--Kompaktifizierungen von lokal kompakten topologischen Gruppen
• Analogues of Cayley graphs for topological groups
• Covering properties and Følner conditions for locally compact groups
• Uniform non-amenability
• Probability on Trees and Networks
• Volume of spheres in doubling metric measured spaces and in groups of polynomial growth
• GRAPHS WITH POLYNOMIAL GROWTH
• Geometric Group Theory
• Weakly amenable groups

This page was built for publication: Geometric amenability in totally disconnected locally compact groups