On the Structure of Covers of Sofic Shifts

Details On the Structure of Covers of Sofic Shifts On the Structure of Covers of Sofic Shifts

2009-12-13

arxiv.org/abs/0912.2514v2

Documenta Mathematica 16, 111-131 (2011)

Mathematics

Dynamical Systems

To appear in Documenta Mathematica. Section 2 has been shortened. Three sections concerning the layered structure of the left

Scientific paper

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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