On the Structure of Covers of Sofic Shifts

Rune Johansen

On the Structure of Covers of Sofic Shifts

Department of Mathematical Sciences

3 Citations (Scopus)

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.

Original language	English
Journal	Documenta Mathematica
Volume	16
Pages (from-to)	111-131
ISSN	1431-0635
Publication status	Published - 2011

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title = "On the Structure of Covers of Sofic Shifts",

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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AU - Johansen, Rune

PY - 2011

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N2 - 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.

AB - 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.

M3 - Journal article

SN - 1431-0635

VL - 16

SP - 111

EP - 131

JO - Documenta Mathematica

JF - Documenta Mathematica

ER -

On the Structure of Covers of Sofic Shifts

Abstract

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