Nondegenerate -biresolving textile systems and expansive automorphisms of onesided full shifts

Author:
Masakazu Nasu

Journal:
Trans. Amer. Math. Soc. **358** (2006), 871-891

MSC (2000):
Primary 37B10; Secondary 37B15, 54H20

Published electronically:
April 22, 2005

MathSciNet review:
2177043

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Abstract: We study nondegenerate, -biresolving textile systems and using properties of them, we prove a conjecture of Boyle and Maass on arithmetic constraints for expansive automorphisms of onesided full shifts and positively expansive endomorphisms of mixing topological Markov shifts. A similar result is also obtained for expansive leftmost-permutive endomorphisms of onesided full shifts.

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Additional Information

**Masakazu Nasu**

Affiliation:
19-8 Takaya-Takamigaoka 9-chōme, Higashi-Hiroshima 739-2115, Japan

Email:
nasu@quartz.ocn.ne.jp

DOI:
http://dx.doi.org/10.1090/S0002-9947-05-03800-6

Received by editor(s):
April 10, 2003

Received by editor(s) in revised form:
April 13, 2004

Published electronically:
April 22, 2005

Additional Notes:
This research was partially supported by Grant-in-Aid for Scientific Research (No. 13440056), Ministry of Education, Culture, Sports, Science and Technology, Japan

Article copyright:
© Copyright 2005
American Mathematical Society