Reducibility of Covers of AFT shifts

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Reducibility of Covers of AFT shifts. / Bates, Teresa; Eilers, Søren; Pask, David.

I: Israel Journal of Mathematics, Bind 185, Nr. 1, 2011, s. 207-234.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Bates, T, Eilers, S & Pask, D 2011, 'Reducibility of Covers of AFT shifts', Israel Journal of Mathematics, bind 185, nr. 1, s. 207-234. https://doi.org/10.1007/s11856-011-0107-4

APA

Bates, T., Eilers, S., & Pask, D. (2011). Reducibility of Covers of AFT shifts. Israel Journal of Mathematics, 185(1), 207-234. https://doi.org/10.1007/s11856-011-0107-4

Vancouver

Bates T, Eilers S, Pask D. Reducibility of Covers of AFT shifts. Israel Journal of Mathematics. 2011;185(1):207-234. https://doi.org/10.1007/s11856-011-0107-4

Author

Bates, Teresa ; Eilers, Søren ; Pask, David. / Reducibility of Covers of AFT shifts. I: Israel Journal of Mathematics. 2011 ; Bind 185, Nr. 1. s. 207-234.

Bibtex

@article{7f8e8a30e03511deba73000ea68e967b,
title = "Reducibility of Covers of AFT shifts",
abstract = "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.",
author = "Teresa Bates and S{\o}ren Eilers and David Pask",
note = "Keywords: math.DS; math.OA; 37B10, 46L05",
year = "2011",
doi = "10.1007/s11856-011-0107-4",
language = "English",
volume = "185",
pages = "207--234",
journal = "Israel Journal of Mathematics",
issn = "0021-2172",
publisher = "Magnes Press",
number = "1",

}

RIS

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