On Shift Spaces with Algebraic Structure
arXiv:1203.6795
Abstract
We investigate subshifts with a general algebraic structure and cellular automata on them, with an emphasis on (order-theoretic) lattices. Our main results concern the characterization of Boolean algebraic subshifts, conditions for algebraic subshifts to be recoded into cellwise algebras and the limit dynamics of homomorphic cellular automata on lattice subshifts.
12 pages. A shortened version accepted for publication in the proceedings of Computability in Europe 2012