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Reducibility of covers of AFT shifts

Journal Article


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.

Authors


  •   Bates, Teresa G. (external author)
  •   Eilers, Soren (external author)
  •   Pask, David A.

Publication Date


  • 2011

Citation


  • Bates, T., Eilers, S. & Pask, D. (2011). Reducibility of covers of AFT shifts. Israel Journal of Mathematics, 185 207-234.

Scopus Eid


  • 2-s2.0-79957609775

Ro Metadata Url


  • http://ro.uow.edu.au/infopapers/1999

Number Of Pages


  • 27

Start Page


  • 207

End Page


  • 234

Volume


  • 185

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.

Authors


  •   Bates, Teresa G. (external author)
  •   Eilers, Soren (external author)
  •   Pask, David A.

Publication Date


  • 2011

Citation


  • Bates, T., Eilers, S. & Pask, D. (2011). Reducibility of covers of AFT shifts. Israel Journal of Mathematics, 185 207-234.

Scopus Eid


  • 2-s2.0-79957609775

Ro Metadata Url


  • http://ro.uow.edu.au/infopapers/1999

Number Of Pages


  • 27

Start Page


  • 207

End Page


  • 234

Volume


  • 185