Noncommutative Geometry Seminar

In this talk, we will survey the strict deformation quantisation
of Frechet algebras and of spectral triples from the perspective of Abadie
and Exel's generalisation of strict deformation quantisation, which can be
viewed as constructing deformed algebras as twisted group algebras with
coefficients in a Fell bundle. In particular, we will discuss a
reconstruction theorem for toric noncommutative manifolds, and show that
toric noncommutative manifolds with rational deformation parameter are
almost-commutative spectral triples, at least over a certain naturally
defined orbifold.