A note on the Følner condition for amenability

DOI10.1017/S0027763000004542zbMath0780.05027MaRDI QIDQ4271309

Toshiaki Adachi

Publication date: 1 December 1993

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Cayley graphisoperimetric constantamenable groupsFølner conditionsumming sequence

Mathematics Subject Classification ID

Geometric group theory (20F65) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

Related Items

Glivenko-Cantelli theory, Ornstein-Weiss quasi-tilings, and uniform ergodic theorems for distribution-valued fields over amenable groups, Approximating spectral invariants of Harper operators on graphs II, Finite Sections of Band-dominated Operators on Discrete Groups, Uniform approximation of the integrated density of states for long-range percolation Hamiltonians, A Banach space-valued ergodic theorem and the uniform approximation of the integrated density of states, Ihara's zeta function for periodic graphs and its approximation in the amenable case, A Banach space-valued ergodic theorem for amenable groups and applications, Spectral analysis of percolation Hamiltonians, On the integer points in a lattice polytope: \(n\)-fold Minkowski sum and boundary, Spectral structure of the Laplacian on a covering graph, Approximating \(L^2\) invariants of amenable covering spaces: A combinatorial approach, Continuity properties of the integrated density of states on manifolds, Uniformly finite homology and amenable groups, Approximating spectral invariants of Harper operators on graphs

Cites Work

• The fundamental group and the spectrum of the Laplacian
• On groups with full Banach mean value
• Spherical Mean and the Fundamental Group