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Triangle identities
and symmetries of a subshift of finite type
John Bason Wagoner |
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Vol. 144 (1990), No. 1, 181–205
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Abstract |
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We prove the group Aut(σA) of symmetries of a subshift of finite type is isomorphic to the fundamental group of the space RS(ℰ) of strong shift equivalences built from the algebraic RS Triangle Identities for zero-one matrices which arise from triangles in the contractable simplicial complex of Markov partitions. Moreover, we show the higher homotopy groups of RS(ℰ) are zero. RS(ℰ) is therefore homotopy equivalent to the classifying space of Aut(σA). |
Mathematical Subject Classification 2000
Primary: 28D05
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Milestones
Received: 30 June 1988
Revised: 30 September 1988
Published: 1 July 1990
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Authors |
| John Bason Wagoner | |
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