Strong shift equivalence theory and the shift equivalence problem
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Abstract:
This paper discusses strong shift equivalence and counterexamples to the long standing Shift Equivalence Problem in symbolic dynamics. We also discuss how strong shift equivalence theory is closely related to areas of mathematics outside dynamics such as algebraic K-theory, cyclic homology, and topological quantum field theory.References
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Additional Information
- J. B. Wagoner
- Affiliation: Mathematics, University of California, Berkeley, CA 94720
- Email: wagoner@math.berkeley.edu
- Received by editor(s): April 29, 1999
- Received by editor(s) in revised form: May 27, 1999
- Published electronically: June 24, 1999
- Additional Notes: The author was supported in part by NSF Grant DMS 9322498.
- © Copyright 1999 American Mathematical Society
- Journal: Bull. Amer. Math. Soc. 36 (1999), 271-296
- MSC (1991): Primary 19C99, 19D55, 58F99, 81R99
- DOI: https://doi.org/10.1090/S0273-0979-99-00798-3
- MathSciNet review: 1688990