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Volumn 149, Issue 2, 1999, Pages 545-558

The Williams Conjecture is false for irreducible subshifts

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EID: 0033463128     PISSN: 0003486X     EISSN: None     Source Type: Journal    
DOI: 10.2307/120975     Document Type: Article
Times cited : (61)

References (29)
  • 1
    • 85009367586 scopus 로고
    • Equilibrium states and the Ergodic theory of Anosov diffeomorphisms
    • Springer-Verlag, New York
    • R. BOWEN, Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms, Lecture Notes in Math. 470 (1975), Springer-Verlag, New York.
    • (1975) Lecture Notes in Math. , vol.470
    • Bowen, R.1
  • 2
    • 0013544338 scopus 로고
    • Symbolic dynamics and matrices
    • Combinatorial and Graph-Theoretical Problems in Linear Algebra, Springer-Verlag, New York
    • M. BOYLE, Symbolic dynamics and matrices, in Combinatorial and Graph-Theoretical Problems in Linear Algebra, I.M.A. Vol. Math. Appl. 50 (1993), 1-38, Springer-Verlag, New York.
    • (1993) I.M.A. Vol. Math. Appl. , vol.50 , pp. 1-38
    • Boyle, M.1
  • 3
    • 84968493697 scopus 로고
    • Algebraic shift equivalence and primitive matrices
    • M. BOYLE and D. HANDELMAN, Algebraic shift equivalence and primitive matrices, Trans. AMS 336 (1993), 121-149.
    • (1993) Trans. AMS , vol.336 , pp. 121-149
    • Boyle, M.1    Handelman, D.2
  • 4
    • 0002355541 scopus 로고
    • Periodic points and automorphisms of the shift
    • M. BOYLE and W. KRIEGEH, Periodic points and automorphisms of the shift, Trans. AMS 302 (1987), 125-149.
    • (1987) Trans. AMS , vol.302 , pp. 125-149
    • Boyle, M.1    Kriegeh, W.2
  • 5
    • 84956252003 scopus 로고
    • The automorphism group of a shift of finite type
    • M. BOYLE, D. LIND, and D. RUDOLPH, The automorphism group of a shift of finite type, Trans. AMS 306 (1988), 71-114.
    • (1988) Trans. AMS , vol.306 , pp. 71-114
    • Boyle, M.1    Lind, D.2    Rudolph, D.3
  • 6
    • 0001175308 scopus 로고
    • A class of c*-algebras and topological Markov chains
    • J. CUNTZ and W. KRIEGER, A class of C*-algebras and topological Markov chains, Invent. Math. 56 (1980), 251-268.
    • (1980) Invent. Math. , vol.56 , pp. 251-268
    • Cuntz, J.1    Krieger, W.2
  • 7
    • 0002248535 scopus 로고
    • Gyration numbers for involutions of subshifts of finite type I
    • U. FIEBIG, Gyration numbers for involutions of subshifts of finite type I, Forum Math. 4 (1992), 77-108 and II, Forum Math. 4 (1992), 183-211.
    • (1992) Forum Math. , vol.4 , pp. 77-108
    • Fiebig, U.1
  • 8
    • 0002248535 scopus 로고
    • U. FIEBIG, Gyration numbers for involutions of subshifts of finite type I, Forum Math. 4 (1992), 77-108 and II, Forum Math. 4 (1992), 183-211.
    • (1992) Forum Math. , vol.4 , pp. 183-211
  • 9
    • 0040603697 scopus 로고    scopus 로고
    • Conjugation and strong shift equivalence
    • Y. W. HA, Conjugation and strong shift equivalence, Commun. Korean Math. Soc. 11 (1996), 191-199.
    • (1996) Commun. Korean Math. Soc. , vol.11 , pp. 191-199
    • Ha, Y.W.1
  • 10
    • 0009958572 scopus 로고
    • Flow equivalence of reducible shifts of finite type and Cuntz-Krieger algebras
    • D. HUANG, Flow equivalence of reducible shifts of finite type and Cuntz-Krieger algebras, J. reine angew. Math. 462 (1995), 185-217.
    • (1995) J. Reine Angew. Math. , vol.462 , pp. 185-217
    • Huang, D.1
  • 11
    • 0000052551 scopus 로고
    • Some results on decidability of shift equivalence
    • K. H. KIM and F. W. ROUSH, Some results on decidability of shift equivalence, J. Combin. Inform. System Sci. 4 (1979), 123-146.
    • (1979) J. Combin. Inform. System Sci. , vol.4 , pp. 123-146
    • Kim, K.H.1    Roush, F.W.2
  • 12
    • 0002079530 scopus 로고
    • Decidability of shift equivalence
    • Dynamical Systems (J. W. Alexander, ed.), Springer-Verlag, NewYork
    • _, Decidability of shift equivalence, in Dynamical Systems (J. W. Alexander, ed.), Lecture Notes in Math. 1342 (1988), 374-424, Springer-Verlag, New York.
    • (1988) Lecture Notes in Math. , vol.1342 , pp. 374-424
  • 13
    • 0003120829 scopus 로고
    • On the structure of inert automorphisms of subshifts
    • _, On the structure of inert automorphisms of subshifts, Pure Math. and Appl. 2 (1991), 3-22.
    • (1991) Pure Math. and Appl. , vol.2 , pp. 3-22
  • 14
    • 84968502752 scopus 로고
    • Williams's conjecture is false for reducible subshifts
    • _, Williams's conjecture is false for reducible subshifts, JAMS 5 (1992), 213-215.
    • (1992) JAMS , vol.5 , pp. 213-215
  • 15
    • 85009775753 scopus 로고    scopus 로고
    • The Williams conjecture is false for irreducible subshifts
    • _, The Williams conjecture is false for irreducible subshifts, ERA AMS 3 (1997), 105-109.
    • (1997) ERA AMS , vol.3 , pp. 105-109
  • 16
    • 84880332830 scopus 로고
    • Topological classification of reducible subshifts
    • _, Topological classification of reducible subshifts, Pure Math. and Appl. 3 (1992), 87-102.
    • (1992) Pure Math. and Appl. , vol.3 , pp. 87-102
  • 17
    • 84968502774 scopus 로고
    • Automorphisms of the dimension group and gyration numbers
    • K. H. KIM, F. W. ROUSH, and J. WAGONER, Automorphisms of the dimension group and gyration numbers, JAMS 5 (1992), 191-212.
    • (1992) JAMS , vol.5 , pp. 191-212
    • Kim, K.H.1    Roush, F.W.2    Wagoner, J.3
  • 19
    • 0001175312 scopus 로고
    • On dimension functions and topological Markov chains
    • W. KRIEGER, On dimension functions and topological Markov chains, Invent. Math. 56 (1980), 239-250.
    • (1980) Invent. Math. , vol.56 , pp. 239-250
    • Krieger, W.1
  • 21
    • 0003233502 scopus 로고
    • Topological conjugacy for sofic systems and extensions of automorphisms of finite subsystems of topological Markov shifts
    • Springer-Verlag, New York
    • M. NASU, Topological conjugacy for sofic systems and extensions of automorphisms of finite subsystems of topological Markov shifts, Lecture Notes in Math. 1342 (1988), 564-607, Springer-Verlag, New York.
    • (1988) Lecture Notes in Math. , vol.1342 , pp. 564-607
    • Nasu, M.1
  • 22
    • 84959844226 scopus 로고
    • Block coding and a zeta function for finite Markov chains
    • W. PARRY and R. F. WILLIAMS, Block coding and a zeta function for finite Markov chains, Proc. London Math. Soc. 35 (1977), 483-495.
    • (1977) Proc. London Math. Soc. , vol.35 , pp. 483-495
    • Parry, W.1    Williams, R.F.2
  • 24
    • 0002079532 scopus 로고
    • Triangle identities and symmetries of a subshift of finite type
    • _, Triangle identities and symmetries of a subshift of finite type, Pacific J. Math. 144 (1990), 181-205.
    • (1990) Pacific J. Math. , vol.144 , pp. 181-205
  • 25
    • 84966227566 scopus 로고
    • Higher-dimensional shift equivalence and strong shift equivalence are the same over the integers
    • _, Higher-dimensional shift equivalence and strong shift equivalence are the same over the integers, Proc. AMS 109 (1990), 527-536.
    • (1990) Proc. AMS , vol.109 , pp. 527-536
  • 26
    • 0002082607 scopus 로고
    • Eventual finite order generation for the kernel of the dimension group representation
    • _, Eventual finite order generation for the kernel of the dimension group representation, Trans. AMS 317 (1990), 331-350.
    • (1990) Trans. AMS , vol.317 , pp. 331-350
  • 27
    • 0001745950 scopus 로고
    • Classification of subshifts of finite type
    • R. F. WILLIAMS, Classification of subshifts of finite type, Ann. of Math. 98 (1973), 120-153; Errata, ibid. 99 (1974), 380-381.
    • (1973) Ann. of Math. , vol.98 , pp. 120-153
    • Williams, R.F.1
  • 28
    • 0041197749 scopus 로고
    • R. F. WILLIAMS, Classification of subshifts of finite type, Ann. of Math. 98 (1973), 120-153; Errata, ibid. 99 (1974), 380-381.
    • (1974) Ann. of Math. , vol.99 , pp. 380-381
  • 29
    • 0002065960 scopus 로고
    • Strong shift equivalence of matrices in GL(2,ℤ)
    • _, Strong shift equivalence of matrices in GL(2,ℤ), Contemp. Math. 135 (1992), 445-451.
    • (1992) Contemp. Math. , vol.135 , pp. 445-451


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