$\Gamma$-conformal algebras of finite type for torsion-free group $\Gamma$

We investigate the structure of $\Gamma$-conformal algebras which are discrete analogues of conformal algebras in sense of V. G. Kac. Simple and semisimple Lie $\Gamma$-conformal algebras of finite type in zero characteristic for torsion-free group $\Gamma$ are classified.