Conjugacy of $Z^2$-subshifts and Textile Systems
Hiroshi Aso · Publications of the Research Institute for Mathematical Sciences · 2000
It will be shown that any topological conjugacy of Z^2 -subshifts is factorized into a finite number of bipartite codes, and that in particular when textile shifts which are Z^2 -subshifts arising from textile systems introduced by Nasu are taken each bipartite code appearing in this factorization is given by a bipartite graph code of textile shifts which is defined in terms of textile systems. The latter result extends the Williams result on strong shift equivalence of Z^1 -topological Markov shifts to a Z^2 -shift case.