58 citations · 265 across the 44 of their papers we have counts for
4 papers · 1 filter
Graph Reconstruction and Quantum Statistical Mechanics
Gunther Cornelissen, Matilde Marcolli
We study in how far it is possible to reconstruct a graph from various Banach algebras associated to its universal covering, and extensions thereof to quantum statistical mechanica…
Zeta functions that hear the shape of a Riemann surface
Gunther Cornelissen, Matilde Marcolli
To a compact hyperbolic Riemann surface, we associate a finitely summable spectral triple whose underlying topological space is the limit set of a corresponding Schottky group, and…
On the K-theory of graph C*-algebras
Gunther Cornelissen, Oliver Lorscheid, Matilde Marcolli
We classify graph C*-algebras, namely, Cuntz-Krieger algebras associated to the Bass-Hashimoto edge incidence operator of a finite graph. This is done by a purely graph theoretical…
KMS states and complex multiplication
Alain Connes, Matilde Marcolli, Niranjan Ramachandran
We construct a quantum statistical mechanical system which generalizes the Bost-Connes system to imaginary quadratic fields K of arbitrary class number and fully incorporates the e…