Local field theory on kappa-Minkowski space, star products and noncommutative translations

We consider local field theory on K-deformed Minkowski space which is an ex ample of solvable Lie-algebraic noncommutative structure. Using integration formula over K-Minkowski space and K-deformed Fourier transform, we consid er for deformed local fields the reality conditions as well as deformation of action functionals in standard Minkowski space. We present explicit form ulas for two equivalent star products describing CBH quantization of field theory on K-Minkowski space. We express also via star product technique the noncommutative translations in K-Minkowski space by commutative translatio ns in standard Minkowski space.