On the Structure of Covers of Sofic Shifts

Rune Johansen

On the Structure of Covers of Sofic Shifts

Authors:

Johansen, Rune
Close
0000-0003-1506-4333
Department of Mathematical Sciences, Faculty of Science, Københavns Universitet

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.

Type:

Journal article

Language:

English

Published in:

Documenta Mathematica, 2011, Vol 16, p. 111-131

Main Research Area:

Science/technology

Publication Status:

Published

Review type:

Peer Review

Submission year:

2011

Scientific Level:

Scientific

ID:

231960832

On the Structure of Covers of Sofic Shifts

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