On the Structure of Covers of Sofic Shifts
Research output: Contribution to journal › Journal article › Research › peer-review
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On the Structure of Covers of Sofic Shifts. / Johansen, Rune.
In: Documenta Mathematica, Vol. 16, 2011, p. 111-131.Research output: Contribution to journal › Journal article › Research › peer-review
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TY - JOUR
T1 - On the Structure of Covers of Sofic Shifts
AU - Johansen, Rune
PY - 2011
Y1 - 2011
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
VL - 16
SP - 111
EP - 131
JO - Documenta Mathematica
JF - Documenta Mathematica
SN - 1431-0635
ER -
ID: 35038664