\ifx\undefined\bysame
\newcommand{\bysame}{\leavevmode\hbox to3em{\hrulefill}\,}
\fi
\begin{thebibliography}{AxKo65b}

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J.~Ax and S.~Kochen, {\em Diophantine problems over local fields, {I}}, Amer.
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J.~Ax and S.~Kochen, {\em Diophantine problems over local fields, {II}: {A}
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J.~Ax and S.~Kochen, {\em Diophantine problems over local fields, {III}:
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K.A. Baker, {\em Strong shift equivalence of $2\times 2$ matrices of
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K.A. Baker, {\em Strong shift equivalence and shear adjacency of nonnegative
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O.~Bratteli, P.E.T. Jorgensen, K.H. Kim, and F.~Roush, {\em Non-stationarity of
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O.~Bratteli, P.E.T. Jorgensen, and V.~Ostrovs'ky\u{\i}, {\em Representation
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B.~Blackadar, {\em ${K}$-theory for {O}perator {A}lgebras}, MSRI Publication
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M.~Boyle, B.~Marcus, and P.~Trow, {\em Resolving maps and the dimension group
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M.~Boyle and D.~Handelman, {\em The spectra of nonnegative matrices via
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M.~Boyle and D.~Handelman, {\em Algebraic shift equivalence and primitive
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\bibitem[BoSh66]{BoSh66}
Z.I. Borevich and I.R. Shafarevich, {\em Number {T}heory}, Pure and Applied
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O.~Bratteli, {\em Inductive limits of finite dimensional ${C}^*$-al\-ge\-bras},
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\bibitem[Buc86]{Buc86}
J.~Buchmann, {\em Generalized {C}ontinued {F}ractions and {N}umber {T}heoretic
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  Mathematisch-Statistische Sektion, Graz, 1986, Paper from the sixteenth
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H.P. Cartan and S.~Eilenberg, {\em Homological {A}lgebra}, Princeton University
  Press, Princeton, New Jersey, 1956.

\bibitem[CuKr80]{CuKr80}
J.~Cuntz and W.~Krieger, {\em Topological {M}arkov chains with dicyclic
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\bibitem[DHS99]{DHS99}
F.~Durand, B.~Host, and S.~Skau, {\em Substitutional dynamical systems,
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M.~Davis, Yu. Matijasevi{\v{c}}, and J.~Robinson, {\em Hilbert's tenth problem:
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  vol.~28, American Mathematical Society, Providence, 1976, pp.~323--378.

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E.G. Effros, {\em Dimensions and ${C}\sp{\ast} $-algebras}, CBMS Regional Conf.
  Ser. in Math., vol.~46, Conference Board of the Mathematical Sciences,
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G.A. Elliott, {\em On the classification of inductive limits of sequences of
  semisimple finite-dimensional algebras}, J. Algebra {\bf 38} (1976), 29--44.

\bibitem[Ell79]{Ell79}
G.A. Elliott, {\em On totally ordered groups, and ${K}_{0}$}, Ring theory
  (Waterloo, 1978) (D.~Handelman and J.~Lawrence, eds.), Lecture Notes in
  Math., vol. 734, Springer, Berlin, 1979, pp.~1--49.

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F.~Grunewald and D.~Segal, {\em Some general algorithms, {I}: {A}rithmetic
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\bibitem[GrSe80b]{GrSe80b}
F.~Grunewald and D.~Segal, {\em Some general algorithms, {II}: {N}ilpotent
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\bibitem[GrSe82]{GrSe82}
F.~Grunewald and D.~Segal, {\em R\'esolution effective de quelques probl\`emes
  diophantiens sur les groupes alg\'ebriques lin\'eaires}, C. R. Acad. Sci.
  Paris Ser. I Math. {\bf 295} (1982), 479--481.

\bibitem[Han81]{Han81}
D.~Handelman, {\em Positive matrices and dimension groups affiliated to
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\bibitem[Han87]{Han87}
D.~Handelman, {\em Eventually positive matrices with rational eigenvectors},
  Ergodic Theory Dynamical Systems {\bf 7} (1987), 193--196.

\bibitem[Her69]{Her69}
Hans Hermes, {\em Enumerability, {D}ecidability, {C}omputability: {A}n
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  New York, 1969, Translated from the German by G. T. Hermann and O. Plassmann.
  Second revised edition. Die Grundlehren der mathematischen Wissenschaften,
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\bibitem[Her78]{Her78}
Hans Hermes, {\em Aufz\"ahlbarkeit, {E}ntscheidbarkeit, {B}erechenbarkeit:
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\bibitem[HiSi00]{HiSi00}
M.~Hindry and J.H. Silverman, {\em Diophantine {G}eometry: An {I}ntroduction},
  Graduate Texts in Mathematics, vol. 201, Springer-Verlag, New York, 2000.

\bibitem[Jac75]{Jac75}
N.~Jacobson, {\em Lectures in {A}bstract {A}lgebra, {V}ol.~{III}: Theory of
  fields and {G}alois theory}, Graduate Texts in Mathematics, vol.~32,
  Springer-Verlag, New York--Heidelberg, 1975, second corrected printing.

\bibitem[Jac97]{Jac97}
J.~Jacklitch, {\em Homeomorphisms of $1$-dimensional hyperbolic attractors},
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\bibitem[KaMa51]{KaMa51}
I.~Kaplansky and G.W. Mackey, {\em A generalization of {U}lm's theorem}, Summa
  Brasil. Math. 2 (1951), 195--202.

\bibitem[Kap69]{Kap69}
I.~Kaplansky, {\em Infinite {A}belian {G}roups}, revised ed., The University of
  Michigan Press, Ann Arbor, 1969.

\bibitem[KiRo79]{KiRo79}
K.H. Kim and F.W. Roush, {\em Some results on decidability of shift
  equivalence}, J. Combin. Inform. System Sci. {\bf 4} (1979), 123--146.

\bibitem[KiRo88]{KiRo88}
K.H. Kim and F.W. Roush, {\em Decidability of shift equivalence}, Dynamical
  {S}ystems (College Park, MD, 1986--87) (J.C. Alexander, ed.), Lecture Notes
  in Mathematics, vol. 1342, Springer-Verlag, Berlin-New York, 1988,
  pp.~374--424.

\bibitem[Kit98]{Kit98}
B.P. Kitchens, {\em Symbolic {D}ynamics: One-sided, {T}wo-sided and {C}ountable
  {S}tate {M}arkov {S}hifts}, Universitext, Springer-Verlag, Berlin, 1998.

\bibitem[Knu81]{Knu81}
Donald~E. Knuth, {\em {T}he art of computer programming: {V}ol. 2:
  {S}eminumerical algorithms}, 2nd ed., Addison-Wesley Publishing Co., Reading,
  Mass., 1981.

\bibitem[Kob84]{Kob84}
N.~Koblitz, {\em $p$-adic {N}umbers, $p$-adic {A}nalysis, and
  {Z}eta-{F}unctions}, 2nd ed., Graduate Texts in Mathematics, vol.~58,
  Springer-Verlag, New York, 1984.

\bibitem[MuPa98]{MuPa98}
D.~Mundici and G.~Panti, {\em The equivalence problem for {B}ratteli diagrams},
  preprint, 1998.

\bibitem[New72]{New72}
M.~Newman, {\em Integral {M}atrices}, Pure and Applied Mathematics, vol.~45,
  Academic Press, New York--London, 1972.

\bibitem[PaTa95]{PaTa95}
Jacob Palis and Floris Takens, {\em Hyperbolicity and sensitive chaotic
  dynamics at homoclinic bifurcations}, Cambridge Studies in Advanced
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\bibitem[PaTu82]{PaTu82}
W.~Parry and S.~Tuncel, {\em Classification {P}roblems in {E}rgodic {T}heory},
  London Mathematical Society Lecture Note Series, vol.~67, Statistics:
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\bibitem[PaWi77]{PaWi77}
W.~Parry and R.F. Williams, {\em Block coding and a zeta function for finite
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\bibitem[PoZa97]{PoZa97}
M.~Pohst and H.~Zassenhaus, {\em Algorithmic {A}lgebraic {N}umber {T}heory},
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\bibitem[Pru25]{Pru25}
H.~Pr\"ufer, {\em Theorie der {A}belschen {G}ruppen {II}}, Math. Z. {\bf 22}
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\bibitem[Rad99]{Rad99}
Charles Radin, {\em Miles of tiles}, American Mathematical Society, Providence,
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\bibitem[Rot98]{Rot98}
J.J. Rotman, {\em Galois {T}heory}, second ed., Universitext, Springer-Verlag,
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\bibitem[Ser77]{Ser77}
J.-P. Serre, {\em Linear {R}epresentations of {F}inite {G}roups}, Graduate
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\bibitem[Ser79]{Ser79}
J.-P. Serre, {\em Local {F}ields}, Graduate Texts in Mathematics, vol.~67,
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\bibitem[Ser98]{Ser98}
J.-P. Serre, {\em Abelian $l$-adic {R}epresentations and {E}lliptic {C}urves},
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\bibitem[SwVo00]{SwVo00}
R.~Swanson and H.~Volkmer, {\em Invariants of weak equivalence in primitive
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\bibitem[vdW91]{vdW91}
B.~L. van~der Waerden, {\em Algebra, {V}ol. {II}}, Springer-Verlag, New York,
  1991, Based in part on lectures by E. Artin and E. Noether, Translated from
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\bibitem[Wag99]{Wag99}
J.B. Wagoner, {\em Strong shift equivalence theory and the shift equivalence
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\bibitem[Wei98]{Wei98}
E.~Weiss, {\em Algebraic {N}umber {T}heory}, Dover, Mineola, NY, 1998.

\end{thebibliography}

