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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(online) ISSN 0273-0979(print)

 

Strong shift equivalence theory and
the shift equivalence problem


Author: J. B. Wagoner
Journal: Bull. Amer. Math. Soc. 36 (1999), 271-296
MSC (1991): Primary 19C99, 19D55, 58F99, 81R99
Published electronically: June 24, 1999
MathSciNet review: 1688990
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Abstract | References | Similar Articles | Additional Information

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.


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Additional Information

J. B. Wagoner
Affiliation: Mathematics, University of California, Berkeley, CA 94720
Email: wagoner@math.berkeley.edu

DOI: http://dx.doi.org/10.1090/S0273-0979-99-00798-3
PII: S 0273-0979(99)00798-3
Keywords: Strong shift equivalence, the shift equivalence problem, positivity
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.
Article copyright: © Copyright 1999 American Mathematical Society