Graph reconstruction and quantum statistical mechanics

G.L.M. Cornelissen, M. Marcolli

Research output: Contribution to journalArticleAcademicpeer-review


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.
Original languageEnglish
Pages (from-to)110-117
Number of pages8
JournalJournal of Geometry and Physics
Publication statusPublished - 2013


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