Graph reconstruction and quantum statistical mechanics

JOURNAL OF GEOMETRY AND PHYSICS

卷:72

Article

Cornelissen, Gunther¹  Marcolli, Matilde² 

[1] Univ Utrecht, Inst Math, NL-3508 TA Utrecht, Netherlands

[2] CALTECH, Dept Math, Pasadena, CA 91125 USA

关键词: Graph;    Graph reconstruction;    Quantum statistical mechanics;    Graph C-x-algebra;   

DOI  :  10.1016/j.geomphys.2013.03.021

来源: Elsevier

【 摘 要 】

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. (C) 2013 Elsevier B.V. All rights reserved.

【 授权许可】

Free