The noncommutative Lorentzian cylinder as an isospectral deformation
The noncommutative Lorentzian cylinder as an isospectral deformation
We present a new example of a finite-dimensional noncommutative manifold, namely, the noncommutative cylinder. It is obtained by isospectral deformation of the canonical triple associated with the Euclidean cylinder. We discuss Connes’ character formula for the cylinder. In the second part, we discuss noncommutative Lorentzian manifolds. Here, the definition of …