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Canonical symbolic dynamics for one-dimensional generalized solenoids
Author(s):
Inhyeop
Yi
Journal:
Trans. Amer. Math. Soc.
353
(2001),
3741-3767.
MSC (2000):
Primary 58F03, 58F12;
Secondary 05C20, 54F50, 58F15
Posted:
May 4, 2001
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Additional information
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.
References:
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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:
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
Posted:
May 4, 2001
Copyright of article:
Copyright
2001,
American Mathematical Society
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