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Volumn 5, Issue 1, 1992, Pages 191-212

Automorphisms of the dimension group and gyration numbers

Author keywords

Compatibility; Condition homomorphism; Gyration; Sign

Indexed keywords


EID: 84968502774     PISSN: 08940347     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0894-0347-1992-1124983-3     Document Type: Article
Times cited : (33)

References (27)
  • 1
    • 0001588027 scopus 로고
    • Strong shift equivalence of 2 by 2 matrices of non negative integers
    • K. Baker, Strong shift equivalence of 2 by 2 matrices of non negative integers, Ergodic Theory Dynamical Systems 3 (1983), 501–508.
    • (1983) Ergodic Theory Dynamical Systems , vol.3 , pp. 501-508
    • Baker, K.1
  • 3
    • 0002355541 scopus 로고
    • Periodic points and automorphisms of the shift
    • M. Boyle and W. Krieger, Periodic points and automorphisms of the shift, Trans. Amer. Math. Soc. 302 (1987), 125–149.
    • (1987) Trans. Amer. Math. Soc. , vol.302 , pp. 125-149
    • Boyle, M.1    Krieger, W.2
  • 4
    • 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. Amer. Math. Soc. 306 (1988), 71–114.
    • (1988) Trans. Amer. Math. Soc. , vol.306 , pp. 71-114
    • Boyle, M.1    Lind, D.2    Rudolph, D.3
  • 5
    • 0001899289 scopus 로고
    • Topological Markov chains and dicyclic dimension groups
    • J. Cuntz and W. Krieger, Topological Markov chains and dicyclic dimension groups, J. Reine Angew. Math. 320 (1980), 44–51.
    • (1980) J. Reine Angew. Math. , vol.320 , pp. 44-51
    • Cuntz, J.1    Krieger, W.2
  • 6
    • 0003344248 scopus 로고
    • Ergodic theory on compact spaces
    • Springer-Verlag, Berlin-Heidelberg-New York
    • M. Denker, C. Grillenberger, and K. Sigmund, Ergodic theory on compact spaces, Lecture Notes in Math. vol. 527, Springer-Verlag, Berlin-Heidelberg-New York, 1976.
    • (1976) Lecture Notes in Math. , vol.527
    • Denker, M.1    Grillenberger, C.2    Sigmund, K.3
  • 7
    • 0003336982 scopus 로고
    • Dimensions and C*-algebras
    • Amer. Math. Soc., Providence, RI
    • E. Effros, Dimensions and C*-algebras, CBMS, No. 46, Amer. Math. Soc., Providence, RI, 1981.
    • (1981) CBMS , Issue.46
    • Effros, E.1
  • 9
    • 84968497706 scopus 로고    scopus 로고
    • Gyration numbers for involutions of subshifts of finite type
    • (to appear)
    • U. Fiebig, Gyration numbers for involutions of subshifts of finite type, Math. Forum (to appear).
    • Math. Forum
    • Fiebig, U.1
  • 10
    • 0001776020 scopus 로고
    • Homology and dynamical systems
    • Amer. Math. Soc., Providence, RI
    • J. Franks, Homology and dynamical systems, CBMS No. 49, Amer. Math. Soc., Providence, RI, 1982.
    • (1982) CBMS , Issue.49
    • Franks, J.1
  • 11
    • 84968465153 scopus 로고
    • Positive matrices and dimension groups
    • D. Handelman, Positive matrices and dimension groups, J. Operator Theory 6 (1981), 5574.
    • (1981) J. Operator Theory , vol.6 , pp. 5574
    • Handelman, D.1
  • 12
    • 0001072208 scopus 로고
    • Endomorphisms and automorphisms of shift dynamical systems
    • G. Hedlund, Endomorphisms and automorphisms of shift dynamical systems, Math. Systems Theory 3 (1969), 320–375.
    • (1969) Math. Systems Theory , vol.3 , pp. 320-375
    • Hedlund, G.1
  • 13
    • 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
  • 14
    • 0000052551 scopus 로고
    • Some results on decidability of shift equivalence
    • 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, H.1    Roush, F.W.2
  • 16
    • 84968502752 scopus 로고
    • Williams’s conjecture is false for reducible subshifts
    • (this issue)
    • H. Kim and F. W. Roush', Williams’s conjecture is false for reducible subshifts, J. Amer. Math. Soc. 5 (1992), 213–215 (this issue).
    • (1992) J. Amer. Math. Soc. , vol.5 , pp. 213-215
    • Kim, H.1    Roush, F.W.2
  • 17
    • 0003233502 scopus 로고
    • Topological conjugacy for sofic systems and extensions of automorphisms of finite subsystems of topological Markovc chaings
    • Springer-Verlag, Berlin-Heidelberg-New York
    • M. Nasu, Topological conjugacy for sofic systems and extensions of automorphisms of finite subsystems of topological Markovc chaings, Dynamical Systems, Lecture Notes in Math., vol. 1342, Springer-Verlag, Berlin-Heidelberg-New York, 1988, pp. 564–607.
    • (1988) Dynamical Systems, Lecture Notes in Math. , vol.1342 , pp. 564-607
    • Nasu, M.1
  • 18
    • 0003323863 scopus 로고
    • Classification problems in ergodic theory
    • Cambridge Univ. Press
    • W. Parry and S. Tuncel, Classification problems in ergodic theory, LMS Lecture Notes, No. 67, Cambridge Univ. Press, 1982.
    • (1982) LMS Lecture Notes , Issue.67
    • Parry, W.1    Tuncel, S.2
  • 19
    • 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. (3) 35 (1977), 483–495.
    • (1977) Proc. London Math. Soc. , vol.35 , Issue.3 , pp. 483-495
    • Parry, W.1    Williams, R.F.2
  • 21
    • 0002079532 scopus 로고
    • Triangle Identities and symmetries of a subshift of finite type
    • J. Wagoner, 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
    • Wagoner, J.1
  • 22
    • 0002082607 scopus 로고
    • Eventual finite order generation for the kernel of the dimension group representation
    • J. Wagoner, Eventual finite order generation for the kernel of the dimension group representation, Trans. Amer. Math. Soc. 317 (1990), 331–350.
    • (1990) Trans. Amer. Math. Soc. , vol.317 , pp. 331-350
    • Wagoner, J.1
  • 23
    • 84966227566 scopus 로고
    • Higher dimensional shift equivalence is the same as strong shift equivalence over the integers
    • J. Wagoner, Higher dimensional shift equivalence is the same as strong shift equivalence over the integers, Proc. Amer. Math. Soc. 109 (1990), 527–536.
    • (1990) Proc. Amer. Math. Soc. , vol.109 , pp. 527-536
    • Wagoner, J.1
  • 25
    • 0000003018 scopus 로고
    • Classification of one-dimensional attractors
    • Amer. Math. Soc., Providence, RI
    • R. F. Williams, Classification of one-dimensional attractors, Proc. Sympos. Pure Math. vol. 14, Amer. Math. Soc., Providence, RI, 1970, pp. 341–361.
    • (1970) Proc. Sympos. Pure Math. , vol.14 , pp. 341-361
    • Williams, R.F.1
  • 26
    • 84968488394 scopus 로고
    • Classification of subshifts of finite type
    • R. F. Williams, Classification of subshifts of finite type, Ann. of Math. (2) 98 (1973), 120–153;
    • (1973) Ann. of Math. , vol.98 , Issue.2 , pp. 120-153
    • Williams, R.F.1
  • 27
    • 84968513776 scopus 로고
    • Errata
    • R. F. Williams, Errata Ann. of Math. 99 (1974), 380–381.
    • (1974) Ann. of Math. , vol.99 , pp. 380-381


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.