On dynamical finiteness properties of algebraic group shifts

Let G be a group and let V an algebraic over algebraically closed field. We introduce subshifts ? ? VG which generalize both the class of sofic finite alphabets. When is polycyclic-by-finite group, we show that satisfies descending chain condition notion subshifts, type are all equivalent. Thus, obtain extensions well-known results Kitchens Schmidt to cover case many non-compact