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

DOI:
https://doi.org/10.1090/S0273-0979-99-00798-3

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:
https://doi.org/10.1090/S0273-0979-99-00798-3

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