Article ID Journal Published Year Pages File Type
1892839 Journal of Geometry and Physics 2013 8 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Mathematical Physics
Authors
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