Reducibility of Covers of AFT shifts
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Reducibility of Covers of AFT shifts. / Bates, Teresa; Eilers, Søren; Pask, David.
In: Israel Journal of Mathematics, Vol. 185, No. 1, 2011, p. 207-234.Research output: Contribution to journal › Journal article › Research › peer-review
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TY - JOUR
T1 - Reducibility of Covers of AFT shifts
AU - Bates, Teresa
AU - Eilers, Søren
AU - Pask, David
N1 - Keywords: math.DS; math.OA; 37B10, 46L05
PY - 2011
Y1 - 2011
N2 - In this paper we show that the reducibility structure of several covers of sofic shifts is a flow invariant. In addition, we prove that for an irreducible subshift of almost finite type the left Krieger cover and the past set cover are reducible. We provide an example which shows that there are non almost finite type shifts which have reducible left Krieger covers. As an application we show that the Matsumoto algebra of an irreducible, strictly sofic shift of almost finite type is not simple.
AB - In this paper we show that the reducibility structure of several covers of sofic shifts is a flow invariant. In addition, we prove that for an irreducible subshift of almost finite type the left Krieger cover and the past set cover are reducible. We provide an example which shows that there are non almost finite type shifts which have reducible left Krieger covers. As an application we show that the Matsumoto algebra of an irreducible, strictly sofic shift of almost finite type is not simple.
U2 - 10.1007/s11856-011-0107-4
DO - 10.1007/s11856-011-0107-4
M3 - Journal article
VL - 185
SP - 207
EP - 234
JO - Israel Journal of Mathematics
JF - Israel Journal of Mathematics
SN - 0021-2172
IS - 1
ER -
ID: 35076710