Geodesic
On the structure of covers of sofic shifts
Documenta mathematica, Tome 16 (2011), pp. 111-131.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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 $\Cs$-algebra associated to a sofic shift space.
Classification : 37B10, 46L05
Keywords: shift space, sofic shift, Krieger cover, fischer cover 
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Johansen, Rune. On the structure of covers of sofic shifts. Documenta mathematica, Tome 16 (2011), pp. 111-131. http://geodesic.mathdoc.fr/item/DOCMA_2011__16__a30/