3 papers
math.QA2007
Examples of noncommutative manifolds: complex tori and spherical manifolds
Jorge Plazas
We survey some aspects of the theory of noncommutative manifolds focusing on the noncommutative analogs of two-dimensional tori and low-dimensional spheres. We are particularly int…
math.NT2007
Quantum statistical mechanics and class field Theory
Jorge Plazas
We survey some results relating noncommutative geometry to the class field theory of number fields. These results appear within the context of quantum statistical mechanics where s…
math.QA2006
Arithmetic structures on noncommutative tori with real multiplication
Jorge Plazas
We study the homogeneous coordinate rings of real multiplication noncommutative tori as defined by A. Polishchuk. Our aim is to understand how these rings give rise to an arithmeti…