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Flow equivalence of
shifts of finite type via positive factorizations
Mike Boyle |
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Vol. 204 (2002), No. 2, 273–317
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Abstract |
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Together with M. Boyle and D. Huang (2000), this paper gives an alternate development of the Huang classification of shifts of finite type up to flow equivalence, and provides additional functorial information, used to analyze the action of the mapping class group of the mapping torus of a shift of finite type on the “isotopy futures” group, which is introduced here. For a shift of finite type σA, this group is isomorphic to the Bowen-Franks group cok(I − A). The action on the isotopy futures group of a subshift is the flow equivalence analogue of the dimension group representation. |
Milestones
Received: 20 September 2000
Revised: 1 December 2000
Published: 1 June 2002
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Authors |
| Mike Boyle | |
| Department of Mathematics University of Maryland College Park, MD 20742-4015 |
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