On the structure of covers of sofic shifts (Q532780)

In the paper, the structure of -- and relationships between -- various standard presentations (the Fischer cover, the Krieger cover, and the past set cover) of sofic shift spaces are investigated. These results are used to find the range of some known flow-invariant and to investigate the ideal structure of the \(C^\star\)-algebras associated to sofic shifts. The paper can be seen as a continuation of some papers, where invariants for shift spaces are extracted from the associated \(C^\star\)-algebras.