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arXiv · 0912.2514

On the Structure of Covers of Sofic Shifts

Rune Johansen
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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.

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Rune Johansen. 2011-03-18. On the Structure of Covers of Sofic Shifts. https://arxiv.org/abs/0912.2514

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