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Inert actions on periodic points
K. H. Kim, F. W. Roush and J. B. Wagoner
Abstract.
The action of inert automorphisms on finite sets of periodic points
of mixing subshifts of finite type is
characterized in terms of the sign-gyration-compatibility condition.
The main technique used is variable length
coding combined with a ``nonnegative algebraic K-theory" formulation
of state splitting and merging. One
application gives a counterexample to the Finite Order Generation
Conjecture by producing examples of infinite
order inert automorphisms of mixing subshifts of finite type which
are not products of finite order
automorphisms.
Copyright 1997 American Mathematical Society
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Article Info
- ERA Amer. Math. Soc. 03 (1997), pp. 55-62
- Publisher Identifier: S 1079-6762(97)00024-3
- 1991 Mathematics Subject Classification. Primary 54H20, 57S99, 20F99
- Received by the editors October 25, 1996
- Posted on July 30, 1997
- Communicated by Douglas Lind
- Comments (When Available)
K. H. Kim
Department of Mathematics, Alabama State University, Montgomery,
Alabama 36101
E-mail address: kkim@asu.alasu.edu
F. W. Roush
Department of Mathematics, Alabama State University, Montgomery,
Alabama 36101
E-mail address: kkim@asu.alasu.edu
J. B. Wagoner
Department of Mathematics, UCB, Berkeley, California 94720
E-mail address: wagoner@math.berkeley.edu
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