
arXiv: 1108.6232
We give a cohomological characterisation of expander graphs, and use it to give a direct proof that expander graphs do not have Yu's property A.
Equivariant homology and cohomology in algebraic topology, 55B20, 05C80, Means on groups, semigroups, etc.; amenable groups, 68R10, Group Theory (math.GR), 510, Planar graphs; geometric and topological aspects of graph theory, uniform embeddings into Hilbert spaces, 51F99, Mathematics - Geometric Topology, FOS: Mathematics, amenability, 20F65, coarse geometry, expanders, 43A07, Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces, expander graphs, 20F69, Geometric Topology (math.GT), K-Theory and Homology (math.KT), Noncommutative topology, 004, cohomological descriptions, 55N20, property A, Mathematics - K-Theory and Homology, Yu's property A, Structural characterization of families of graphs, generalised cohomology, Geometric group theory, Mathematics - Group Theory, discrete bounded metric spaces, coarse Baum-Connes conjecture
Equivariant homology and cohomology in algebraic topology, 55B20, 05C80, Means on groups, semigroups, etc.; amenable groups, 68R10, Group Theory (math.GR), 510, Planar graphs; geometric and topological aspects of graph theory, uniform embeddings into Hilbert spaces, 51F99, Mathematics - Geometric Topology, FOS: Mathematics, amenability, 20F65, coarse geometry, expanders, 43A07, Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces, expander graphs, 20F69, Geometric Topology (math.GT), K-Theory and Homology (math.KT), Noncommutative topology, 004, cohomological descriptions, 55N20, property A, Mathematics - K-Theory and Homology, Yu's property A, Structural characterization of families of graphs, generalised cohomology, Geometric group theory, Mathematics - Group Theory, discrete bounded metric spaces, coarse Baum-Connes conjecture
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