Invariant boundary distributions for finite graphs |
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Authors: | Guyan Robertson |
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Affiliation: | School of Mathematics and Statistics, University of Newcastle, NE1 7RU, UK |
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Abstract: | Let Γ be the fundamental group of a finite connected graph G. Let M be an abelian group. A distribution on the boundary ∂Δ of the universal covering tree Δ is an M-valued measure defined on clopen sets. If M has no χ(G)-torsion, then the group of Γ-invariant distributions on ∂Δ is isomorphic to H1(G,M). |
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Keywords: | Graph Homology Boundary |
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