Geodesic
On the structure of covers of sofic shifts
Documenta mathematica, Tome 16 (2011), pp. 111-131
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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.
DOI : 10.4171/dm/328
Classification : 37B10, 46L05
Mots-clés : shift space, sofic shift, Krieger cover, fischer cover 
@article{10_4171_dm_328,
     author = {Rune Johansen},
     title = {On the structure of covers of sofic shifts},
     journal = {Documenta mathematica},
     pages = {111--131},
     year = {2011},
     volume = {16},
     doi = {10.4171/dm/328},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/328/}
}
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Rune Johansen. On the structure of covers of sofic shifts. Documenta mathematica, Tome 16 (2011), pp. 111-131. doi: 10.4171/dm/328

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