Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1892839 | Journal of Geometry and Physics | 2013 | 8 Pages |
Abstract
We study 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
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Gunther Cornelissen, Matilde Marcolli,