Anosov endomorphisms on branched surfaces

AbstractAnosov endomorphisms on branched surfaces and their shift equivalence represent certain 2-dimensional hyperbolic attractors and their topological conjugacy. R. F. Williams conjectured that if the Anosov endomorphism is non-expanding, then the branch structure may be eliminated via shift equivalence. This paper verifies the conjecture under an additional assumption that the branch structure has no crossings