XXV Workshop on Geometric Methods in Physics 2-8.07.2006

Chryssomalis Chryssomalakos

Canonical star product for Lie-type noncommutative spacetimes.

We present a canonical *-product for noncommutative spacetimes of Lie type, which is compatible with translations and admits a simple, manageable definition of a translation-invariant integral. A trace-like property of the latter is shown to hold, facilitating applications in noncommutative field theory.