On the Structure of Covers of Sofic Shifts
Dynamical Systems
2011-05-18 v2 Operator Algebras
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.
Cite
@article{arxiv.0912.2514,
title = {On the Structure of Covers of Sofic Shifts},
author = {Rune Johansen},
journal= {arXiv preprint arXiv:0912.2514},
year = {2011}
}
Comments
To appear in Documenta Mathematica. Section 2 has been shortened. Three sections concerning the layered structure of the left Krieger cover and the past set cover have been merged and rewritten. Non-essential examples have been omitted. 21 pages, 8 figures