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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Canonical symbolic dynamics for one-dimensional generalized solenoids


Author: Inhyeop Yi
Journal: Trans. Amer. Math. Soc. 353 (2001), 3741-3767
MSC (2000): Primary 58F03, 58F12; Secondary 05C20, 54F50, 58F15
Published electronically: May 4, 2001
MathSciNet review: 1837257
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Abstract:

We define canonical subshift of finite type covers for Williams' one-dimensional generalized solenoids, and use resulting invariants to distinguish some closely related solenoids.


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Additional Information

Inhyeop Yi
Affiliation: Department of Mathematics, University of Maryland, College Park, Maryland 20742
Email: inhyeop@math.umd.edu

DOI: http://dx.doi.org/10.1090/S0002-9947-01-02710-6
PII: S 0002-9947(01)02710-6
Keywords: Generalized solenoid, shift of finite type, shift equivalence, canonical SFT cover, elementary presentation, Bowen-Franks group
Received by editor(s): September 14, 1999
Received by editor(s) in revised form: April 6, 2000
Published electronically: May 4, 2001
Article copyright: © Copyright 2001 American Mathematical Society