Graph reconstruction and quantum statistical mechanics

DOI10.1016/j.geomphys.2013.03.021zbMath1278.05154arXiv1209.5783OpenAlexW2100454584MaRDI QIDQ390946

Gunther Cornelissen, Matilde Marcolli

Publication date: 9 January 2014

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.5783

zbMATH Keywords

quantum statistical mechanicsgraph \(C^\ast\)-algebragraph reconstruction

Mathematics Subject Classification ID

Applications of graph theory (05C90) Noncommutative dynamical systems (46L55) Noncommutative geometry methods in quantum field theory (81T75) Quantum equilibrium statistical mechanics (general) (82B10) Rigidity results (53C24) Symbolic dynamics (37B10) Isomorphism problems in graph theory (reconstruction conjecture, etc.) and homomorphisms (subgraph embedding, etc.) (05C60)

Related Items (10)

On arithmetic models and functoriality of Bost-Connes systems. With an appendix by Sergey Neshveyev ⋮ Isomorphism invariants for multivariable \(C^\ast\)-dynamics ⋮ Edge reconstruction of the Ihara zeta function ⋮ The Ricci flow on noncommutative two-tori ⋮ Two applications of strong hyperbolicity ⋮ Semicrossed products of operator algebras by semigroups ⋮ Twisted spectral triples and quantum statistical mechanical systems ⋮ Equilibrium states and entropy theory for Nica-Pimsner algebras ⋮ Rigidity and reconstruction for graphs ⋮ KMS states on Pimsner algebras associated with \(C^\ast\)-dynamical systems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the \(K\)-theory of graph \(C^{*}\)-algebras
• Géométrie et théorie des groupes. Les groupes hyperboliques de Gromov. (Geometry and group theory. The hyperbolic groups of Gromov)
• Patterson-Sullivan measures on the boundary of a hyperbolic space in the sense of Gromov
• On the rigidity of discrete isometry groups of negatively curved spaces
• Graphs, spectral triples and Dirac zeta functions
• Classification of Cuntz-Krieger algebras
• Hecke algebras, type III factors and phase transitions with spontaneous symmetry breaking in number theory
• Limit sets as examples in noncommutative geometry
• Quantum Statistical Mechanics, L-Series and Anabelian Geometry I: Partition Functions
• Operator algebras for multivariable dynamics
• KMS states on C*-algebras associated to expansive maps
• THE IHARA-SELBERG ZETA FUNCTION OF A TREE LATTICE

This page was built for publication: Graph reconstruction and quantum statistical mechanics