Kappa-Minkowski differential calculi and star product

Abstract

We present the star-product algebra of the kappa-deformation of Minkowski space and the formulation of Poincare covariant differential calculus. We use these tools to construct a twisted K-cycle over the algebra and a twisted cyclic cocycle.Comment: Based on talk at the Corfu Summer Institute on Elementary Particles and Physics - Workshop on Noncommutative Field Theory and Gravity, September 8-12, 2010, Corfu Greec