Graph Reconstruction and Quantum Statistical Mechanics
Operator Algebras
2012-09-27 v1
Abstract
We study in how far it is possible to reconstruct a graph from various Banach algebras associated to its universal covering, and extensions thereof to quantum statistical mechanical systems. It turns out that most the boundary operator algebras reconstruct only topological information, but the statistical mechanical point of view allows for complete reconstruction of multigraphs with minimal degree three.
Keywords
Cite
@article{arxiv.1209.5783,
title = {Graph Reconstruction and Quantum Statistical Mechanics},
author = {Gunther Cornelissen and Matilde Marcolli},
journal= {arXiv preprint arXiv:1209.5783},
year = {2012}
}
Comments
10 pages