58 citations · 233 across the 27 of their papers we have counts for
4 papers · 1 filter
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…
Quantum statistical mechanics over function fields
Caterina Consani, Matilde Marcolli
In this paper we construct a noncommutative space of ``pointed Drinfeld modules'' that generalizes to the case of function fields the noncommutative spaces of commensurability clas…
Noncommutative geometry on trees and buildings
Gunther Cornelissen, Matilde Marcolli, Kamran Reihani +1
We describe the construction of theta summable and finitely summable spectral triples associated to Mumford curves and some classes of higher dimensional buildings. The finitely su…
A walk in the noncommutative garden
Alain Connes, Matilde Marcolli
This text is written for the volume of the school/conference "Noncommutative Geometry 2005" held at IPM Tehran. It gives a survey of methods and results in noncommutative geometry,…