Abstract
A canonical cover generalizing the left Fischer cover to arbitrary sofic shifts is introduced and used to prove that the left Krieger cover and the past set cover of a sofic shift can be divided into natural layers. These results are used to find the range of a flow-invariant and to investigate the ideal structure of the universal C*-algebra associated to a sofic shift space.
| Original language | English |
|---|---|
| Journal | Documenta Mathematica |
| Volume | 16 |
| Pages (from-to) | 111-131 |
| ISSN | 1431-0635 |
| Publication status | Published - 2011 |